10112111112102 has 64 divisors (see below), whose sum is σ = 21328101204480. Its totient is φ = 3189864674304.

The previous prime is 10112111112091. The next prime is 10112111112127. The reversal of 10112111112102 is 20121111121101.

10112111112102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10112111112102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 41146524 + ... + 41391552.

It is an arithmetic number, because the mean of its divisors is an integer number (333251581320).

Almost surely, 2^{10112111112102} is an apocalyptic number.

10112111112102 is an abundant number, since it is smaller than the sum of its proper divisors (11215990092378).

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

10112111112102 is a wasteful number, since it uses less digits than its factorization.

10112111112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248237.

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

Adding to 10112111112102 its reverse (20121111121101), we get a palindrome (30233222233203).

The spelling of 10112111112102 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred two".