10102111100 has 72 divisors (see below), whose sum is σ = 22084367760. Its totient is φ = 4010964480.

The previous prime is 10102111087. The next prime is 10102111109. The reversal of 10102111100 is 111120101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12185486 + ... + 12186314.

It is an arithmetic number, because the mean of its divisors is an integer number (306727330).

Almost surely, 2^10102111100 is an apocalyptic number.

10102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102111100 is an abundant number, since it is smaller than the sum of its proper divisors (11982256660).

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

10102111100 is a wasteful number, since it uses less digits than its factorization.

10102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10102111100 its reverse (111120101), we get a palindrome (10213231201).

Subtracting from 10102111100 its reverse (111120101), we obtain a palindrome (9990990999).

The spelling of 10102111100 in words is "ten billion, one hundred two million, one hundred eleven thousand, one hundred".