20212100 has 18 divisors (see below), whose sum is σ = 43860474. Its totient is φ = 8084800.

The previous prime is 20212097. The next prime is 20212103. The reversal of 20212100 is 121202.

It is an interprime number because it is at equal distance from previous prime (20212097) and next prime (20212103).

It can be written as a sum of positive squares in 3 ways, for example, as 4656964 + 15555136 = 2158^2 + 3944^2 .

It is not an unprimeable number, because it can be changed into a prime (20212103) 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, 100961 + ... + 101160.

It is an arithmetic number, because the mean of its divisors is an integer number (2436693).

Almost surely, 2^20212100 is an apocalyptic number.

20212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212100 is an abundant number, since it is smaller than the sum of its proper divisors (23648374).

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

20212100 is a wasteful number, since it uses less digits than its factorization.

20212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202135 (or 202128 counting only the distinct ones).

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

The square root of 20212100 is about 4495.7869166588. The cubic root of 20212100 is about 272.3979361339.

Adding to 20212100 its reverse (121202), we get a palindrome (20333302).

The spelling of 20212100 in words is "twenty million, two hundred twelve thousand, one hundred".