102110314311 has 128 divisors (see below), whose sum is σ = 167302195200. Its totient is φ = 61326720000.

The previous prime is 102110314307. The next prime is 102110314331. The reversal of 102110314311 is 113413011201.

It is a happy number.

102110314311 is a `hidden beast` number, since 10 + 21 + 10 + 314 + 311 = 666.

It is not a de Polignac number, because 102110314311 - 2² = 102110314307 is a prime.

It is a super-2 number, since 2×102110314311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110314331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150827305 + ... + 150827981.

It is an arithmetic number, because the mean of its divisors is an integer number (1307048400).

Almost surely, 2^102110314311 is an apocalyptic number.

102110314311 is a deficient number, since it is larger than the sum of its proper divisors (65191880889).

102110314311 is a wasteful number, since it uses less digits than its factorization.

102110314311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102110314311 its reverse (113413011201), we get a palindrome (215523325512).

The spelling of 102110314311 in words is "one hundred two billion, one hundred ten million, three hundred fourteen thousand, three hundred eleven".