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102122111001210 = 23529337348313759
BaseRepresentation
bin10111001110000100101000…
…001001100110001001111010
3111101120210000111112222000020
4113032010220021212021322
5101341132040404014320
61001110130010151310
730340036053056226
oct2716045011461172
9441523014488006
10102122111001210
112a5a2820384583
12b553b48422536
1344ca0c6034a01
141b30a45119786
15bc166cc3e940
hex5ce12826627a

102122111001210 has 64 divisors (see below), whose sum is σ = 254296909900800. Its totient is φ = 26215486682112.

The previous prime is 102122111001137. The next prime is 102122111001247. The reversal of 102122111001210 is 12100111221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122111001210.

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, 173863690 + ... + 174450069.

It is an arithmetic number, because the mean of its divisors is an integer number (3973389217200).

Almost surely, 2102122111001210 is an apocalyptic number.

102122111001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122111001210 is an abundant number, since it is smaller than the sum of its proper divisors (152174798899590).

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

102122111001210 is a wasteful number, since it uses less digits than its factorization.

102122111001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348314135.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102122111001210 its reverse (12100111221201), we get a palindrome (114222222222411).

The spelling of 102122111001210 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred eleven million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 337 435 674 870 1011 1685 2022 3370 5055 9773 10110 19546 29319 48865 58638 97730 146595 293190 348313759 696627518 1044941277 1741568795 2089882554 3483137590 5224706385 10101099011 10449412770 20202198022 30303297033 50505495055 60606594066 101010990110 117381736783 151516485165 234763473566 303032970330 352145210349 586908683915 704290420698 1173817367830 1760726051745 3404070366707 3521452103490 6808140733414 10212211100121 17020351833535 20424422200242 34040703667070 51061055500605 102122111001210