20101920100 has 18 divisors (see below), whose sum is σ = 43621166834. Its totient is φ = 8040768000.

The previous prime is 20101920061. The next prime is 20101920101. The reversal of 20101920100 is 102910102.

It can be written as a sum of positive squares in 3 ways, for example, as 35497764 + 20066422336 = 5958^2 + 141656^2 .

It is not an unprimeable number, because it can be changed into a prime (20101920101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100509501 + ... + 100509700.

Almost surely, 2^20101920100 is an apocalyptic number.

20101920100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101920100 is an abundant number, since it is smaller than the sum of its proper divisors (23519246734).

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

20101920100 is a wasteful number, since it uses less digits than its factorization.

20101920100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201019215 (or 201019208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 20101920100 in words is "twenty billion, one hundred one million, nine hundred twenty thousand, one hundred".