20100910910100 has 72 divisors (see below), whose sum is σ = 58159193302560. Its totient is φ = 5360191505280.

The previous prime is 20100910910071. The next prime is 20100910910107. The reversal of 20100910910100 is 101901900102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100910910107) 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, 39036111 + ... + 39547689.

Almost surely, 2^{20100910910100} is an apocalyptic number.

20100910910100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100910910100 is an abundant number, since it is smaller than the sum of its proper divisors (38058282392460).

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

20100910910100 is a wasteful number, since it uses less digits than its factorization.

20100910910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642569 (or 642562 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 20100910910100 in words is "twenty trillion, one hundred billion, nine hundred ten million, nine hundred ten thousand, one hundred".