102110000111031 has 16 divisors (see below), whose sum is σ = 148528586609280. Its totient is φ = 61882786017120.

The previous prime is 102110000111027. The next prime is 102110000111051. The reversal of 102110000111031 is 130111000011201.

It is not a de Polignac number, because 102110000111031 - 2² = 102110000111027 is a prime.

It is a super-2 number, since 2×102110000111031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102110000110998 and 102110000111016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110000111051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50557941 + ... + 52538798.

It is an arithmetic number, because the mean of its divisors is an integer number (9283036663080).

Almost surely, 2^{102110000111031} is an apocalyptic number.

102110000111031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102110000111031 is a deficient number, since it is larger than the sum of its proper divisors (46418586498249).

102110000111031 is a wasteful number, since it uses less digits than its factorization.

102110000111031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103126766.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 102110000111031 its reverse (130111000011201), we get a palindrome (232221000122232).

The spelling of 102110000111031 in words is "one hundred two trillion, one hundred ten billion, one hundred eleven thousand, thirty-one".