202012100 has 36 divisors (see below), whose sum is σ = 440937924. Its totient is φ = 80330880.

The previous prime is 202012093. The next prime is 202012127. The reversal of 202012100 is 1210202.

It can be written as a sum of positive squares in 6 ways, for example, as 17106496 + 184905604 = 4136^2 + 13598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11462 + ... + 23138.

Almost surely, 2^202012100 is an apocalyptic number.

202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220468962).

202012100 is an abundant number, since it is smaller than the sum of its proper divisors (238925824).

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

202012100 is a wasteful number, since it uses less digits than its factorization.

202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 202012100 is about 14213.0960736920. The cubic root of 202012100 is about 586.7581461744.

Adding to 202012100 its reverse (1210202), we get a palindrome (203222302).

The spelling of 202012100 in words is "two hundred two million, twelve thousand, one hundred".