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102121211110110 = 23533714996738499
BaseRepresentation
bin10111001110000011110010…
…100000110010001011011110
3111101120200200210020202111020
4113032003302200302023132
5101341123220021010420
61001105500422305010
730340004545113063
oct2716036240621336
9441520623222436
10102121211110110
112a5a23a9417025
12b553936b88166
1344c9cb1778a7a
141b3099b7cac6a
15bc1618c35340
hex5ce0f28322de

102121211110110 has 64 divisors (see below), whose sum is σ = 245982204000000. Its totient is φ = 27133397770752.

The previous prime is 102121211110097. The next prime is 102121211110133. The reversal of 102121211110110 is 11011112121201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102121211110110.

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 31 ways as a sum of consecutive naturals, for example, 11785641 + ... + 18524139.

It is an arithmetic number, because the mean of its divisors is an integer number (3843471937500).

Almost surely, 2102121211110110 is an apocalyptic number.

102121211110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121211110110 is an abundant number, since it is smaller than the sum of its proper divisors (143860992889890).

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

102121211110110 is a wasteful number, since it uses less digits than its factorization.

102121211110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740345.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102121211110110 its reverse (11011112121201), we get a palindrome (113132323231311).

The spelling of 102121211110110 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 337 674 1011 1499 1685 2022 2998 3370 4497 5055 7495 8994 10110 14990 22485 44970 505163 1010326 1515489 2525815 3030978 5051630 6738499 7577445 13476998 15154890 20215497 33692495 40430994 67384990 101077485 202154970 2270874163 4541748326 6812622489 10101010001 11354370815 13625244978 20202020002 22708741630 30303030003 34063112445 50505050005 60606060006 68126224890 101010100010 151515150015 303030300030 3404040370337 6808080740674 10212121111011 17020201851685 20424242222022 34040403703370 51060605555055 102121211110110