100910009100900 has 144 divisors (see below), whose sum is σ = 301392450426368. Its totient is φ = 26040610944000.

The previous prime is 100910009100863. The next prime is 100910009100941. The reversal of 100910009100900 is 9001900019001.

100910009100900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422854014 + ... + 423092586.

Almost surely, 2^{100910009100900} is an apocalyptic number.

100910009100900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100910009100900 is an abundant number, since it is smaller than the sum of its proper divisors (200482441325468).

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

100910009100900 is a wasteful number, since it uses less digits than its factorization.

100910009100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284102 (or 284095 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

Adding to 100910009100900 its reverse (9001900019001), we get a palindrome (109911909119901).

The spelling of 100910009100900 in words is "one hundred trillion, nine hundred ten billion, nine million, one hundred thousand, nine hundred".