20101910100 has 72 divisors (see below), whose sum is σ = 61582808448. Its totient is φ = 5045184000.

The previous prime is 20101910069. The next prime is 20101910107. The reversal of 20101910100 is 101910102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20101910100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101910107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965676 + ... + 1975875.

It is an arithmetic number, because the mean of its divisors is an integer number (855316784).

Almost surely, 2^20101910100 is an apocalyptic number.

20101910100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101910100 is an abundant number, since it is smaller than the sum of its proper divisors (41480898348).

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

20101910100 is a wasteful number, since it uses less digits than its factorization.

20101910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941585 (or 3941578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 20101910100 in words is "twenty billion, one hundred one million, nine hundred ten thousand, one hundred".