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102121201121212 = 227133171709517861
BaseRepresentation
bin10111001110000011110001…
…111010101011011110111100
3111101120200200002110021022001
4113032003301322223132330
5101341123204441334322
61001105455424232044
730340004364160660
oct2716036172533674
9441520602407261
10102121201121212
112a5a23a3814239
12b55393376b624
1344c9cac68c290
141b3099a34a8a0
15bc1617e10827
hex5ce0f1eab7bc

102121201121212 has 96 divisors (see below), whose sum is σ = 220776750714240. Its totient is φ = 40248510059520.

The previous prime is 102121201121179. The next prime is 102121201121221. The reversal of 102121201121212 is 212121102121201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102121201121212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196939162 + ... + 197457022.

It is an arithmetic number, because the mean of its divisors is an integer number (2299757819940).

Almost surely, 2102121201121212 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 102121201121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388375357120).

102121201121212 is an abundant number, since it is smaller than the sum of its proper divisors (118655549593028).

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

102121201121212 is a wasteful number, since it uses less digits than its factorization.

102121201121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519911 (or 519909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102121201121212 its reverse (212121102121201), we get a palindrome (314242303242413).

The spelling of 102121201121212 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 317 364 634 1268 1709 2219 3418 4121 4438 6836 8242 8876 11963 16484 22217 23926 28847 44434 47852 57694 88868 115388 155519 311038 517861 541753 622076 1035722 1083506 2071444 2167012 3625027 3792271 6732193 7042789 7250054 7584542 13464386 14085578 14500108 15169084 26928772 28171156 47125351 49299523 94250702 98599046 164161937 188501404 197198092 328323874 656647748 885024449 1149133559 1770048898 2134105181 2298267118 3540097796 4268210362 4596534236 6195171143 8536420724 11505317837 12390342286 14938736267 23010635674 24780684572 29877472534 46021271348 59754945068 80537224859 161074449718 280552750333 322148899436 561105500666 1122211001332 1963869252331 3647185754329 3927738504662 7294371508658 7855477009324 14588743017316 25530300280303 51060600560606 102121201121212