2100388900 has 27 divisors (see below), whose sum is σ = 4558838641. Its totient is φ = 839972240.

The previous prime is 2100388897. The next prime is 2100388903. The reversal of 2100388900 is 98830012.

The square root of 2100388900 is 45830.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2100388897) and next prime (2100388903).

It can be written as a sum of positive squares in only one way, i.e., 756140004 + 1344248896 = 27498^2 + 36664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100388903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456009 + ... + 460591.

Almost surely, 2^2100388900 is an apocalyptic number.

2100388900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2100388900 is the 45830-th square number.

It is an amenable number.

2100388900 is an abundant number, since it is smaller than the sum of its proper divisors (2458449741).

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

2100388900 is an frugal number, since it uses more digits than its factorization.

2100388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 2100388900 is about 1280.6582104633.

The spelling of 2100388900 in words is "two billion, one hundred million, three hundred eighty-eight thousand, nine hundred".