10100910100 has 36 divisors (see below), whose sum is σ = 22120090300. Its totient is φ = 4003292160.

The previous prime is 10100910067. The next prime is 10100910109. The reversal of 10100910100 is 101900101.

It can be written as a sum of positive squares in 6 ways, for example, as 712462864 + 9388447236 = 26692^2 + 96894^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100910109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452445 + ... + 474244.

Almost surely, 2^10100910100 is an apocalyptic number.

10100910100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100910100 is an abundant number, since it is smaller than the sum of its proper divisors (12019180200).

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

10100910100 is a wasteful number, since it uses less digits than its factorization.

10100910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926812 (or 926805 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Subtracting from 10100910100 its reverse (101900101), we obtain a palindrome (9999009999).

The spelling of 10100910100 in words is "ten billion, one hundred million, nine hundred ten thousand, one hundred".