10102112133110 has 16 divisors (see below), whose sum is σ = 18183889010736. Its totient is φ = 4040825481888.

The previous prime is 10102112133103. The next prime is 10102112133119. The reversal of 10102112133110 is 1133121120101.

10102112133110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102112133119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127664 + ... + 4496723.

It is an arithmetic number, because the mean of its divisors is an integer number (1136493063171).

Almost surely, 2^{10102112133110} is an apocalyptic number.

10102112133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102112133110 is a deficient number, since it is larger than the sum of its proper divisors (8081776877626).

10102112133110 is a wasteful number, since it uses less digits than its factorization.

10102112133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842847.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10102112133110 its reverse (1133121120101), we get a palindrome (11235233253211).

The spelling of 10102112133110 in words is "ten trillion, one hundred two billion, one hundred twelve million, one hundred thirty-three thousand, one hundred ten".