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102120210202112 = 2961137234710169
BaseRepresentation
bin10111001110000010110110…
…110110100111111000000000
3111101120121010000212100211122
4113032002312312213320000
5101341114142302431422
61001105213225331412
730336641002411004
oct2716026666477000
9441517100770748
10102120210202112
112a5a1a35433033
12b5536b7936b68
1344c9b822b150b
141b309048c4704
15bc15aae24d42
hex5ce0b6da7e00

102120210202112 has 160 divisors (see below), whose sum is σ = 209009225098080. Its totient is φ = 49830319226880.

The previous prime is 102120210202091. The next prime is 102120210202207. The reversal of 102120210202112 is 211202012021201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10042300964 + ... + 10042311132.

It is an arithmetic number, because the mean of its divisors is an integer number (1306307656863).

Almost surely, 2102120210202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104504612549040).

102120210202112 is an abundant number, since it is smaller than the sum of its proper divisors (106889014895968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120210202112 is a wasteful number, since it uses less digits than its factorization.

102120210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102120210202112 its reverse (211202012021201), we get a palindrome (313322222223313).

The spelling of 102120210202112 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 137 244 256 274 488 512 548 976 1096 1952 2192 2347 3904 4384 4694 7808 8357 8768 9388 10169 15616 16714 17536 18776 20338 31232 33428 35072 37552 40676 66856 70144 75104 81352 133712 143167 150208 162704 267424 286334 300416 321539 325408 534848 572668 600832 620309 643078 650816 1069696 1145336 1201664 1240618 1286156 1301632 1393153 2139392 2290672 2481236 2572312 2603264 2786306 4278784 4581344 4962472 5144624 5206528 5572612 9162688 9924944 10289248 11145224 18325376 19613879 19849888 20578496 22290448 23866643 36650752 39227758 39699776 41156992 44580896 47733286 73301504 78455516 79399552 82313984 84982333 89161792 95466572 156911032 158799104 164627968 169964666 178323584 190933144 313822064 317598208 339929332 356647168 381866288 627644128 679858664 713294336 763732576 1255288256 1359717328 1455865223 1527465152 2510576512 2719434656 2911730446 3054930304 3269730091 5021153024 5438869312 5823460892 6109860608 6539460182 10042306048 10877738624 11646921784 12219721216 13078920364 21755477248 23293843568 26157840728 43510954496 46587687136 52315681456 93175374272 104631362912 186350748544 199453535551 209262725824 372701497088 398907071102 418525451648 745402994176 797814142204 837050903296 1595628284408 1674101806592 3191256568816 6382513137632 12765026275264 25530052550528 51060105101056 102120210202112