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102111212021200 = 24521731484398539
BaseRepresentation
bin10111001101111010011110…
…100001010010010111010000
3111101112201212221012102010221
4113031322132201102113100
5101340442230234134300
61001101124311202424
730336202011214264
oct2715723641222720
9441481787172127
10102111212021200
112a599138174588
12b551a06376414
1344c907a01a205
141b302cd8240a4
15bc1230ea731a
hex5cde9e8525d0

102111212021200 has 120 divisors (see below), whose sum is σ = 268132030237440. Its totient is φ = 37201807718400.

The previous prime is 102111212021179. The next prime is 102111212021201. The reversal of 102111212021200 is 2120212111201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111212021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241988470 + ... + 242410069.

It is an arithmetic number, because the mean of its divisors is an integer number (2234433585312).

Almost surely, 2102111212021200 is an apocalyptic number.

102111212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111212021200 is an abundant number, since it is smaller than the sum of its proper divisors (166020818216240).

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

102111212021200 is a wasteful number, since it uses less digits than its factorization.

102111212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484398605 (or 484398594 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102111212021200 its reverse (2120212111201), we get a palindrome (104231424132401).

Subtracting from 102111212021200 its reverse (2120212111201), we obtain a palindrome (99990999909999).

The spelling of 102111212021200 in words is "one hundred two trillion, one hundred eleven billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 34 40 50 62 68 80 85 100 124 136 155 170 200 248 272 310 340 400 425 496 527 620 680 775 850 1054 1240 1360 1550 1700 2108 2480 2635 3100 3400 4216 5270 6200 6800 8432 10540 12400 13175 21080 26350 42160 52700 105400 210800 484398539 968797078 1937594156 2421992695 3875188312 4843985390 7750376624 8234775163 9687970780 12109963475 15016354709 16469550326 19375941560 24219926950 30032709418 32939100652 38751883120 41173875815 48439853900 60065418836 65878201304 75081773545 82347751630 96879707800 120130837672 131756402608 150163547090 164695503260 193759415600 205869379075 240261675344 255278030053 300327094180 329391006520 375408867725 411738758150 510556060106 600654188360 658782013040 750817735450 823477516300 1021112120212 1201308376720 1276390150265 1501635470900 1646955032600 2042224240424 2552780300530 3003270941800 3293910065200 4084448480848 5105560601060 6006541883600 6381950751325 10211121202120 12763901502650 20422242404240 25527803005300 51055606010600 102111212021200