20212012100 has 144 divisors (see below), whose sum is σ = 50642592000. Its totient is φ = 6858846720.

The previous prime is 20212012097. The next prime is 20212012103. The reversal of 20212012100 is 121021202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20212012097) and next prime (20212012103).

It is not an unprimeable number, because it can be changed into a prime (20212012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51958706 + ... + 51959094.

Almost surely, 2^20212012100 is an apocalyptic number.

20212012100 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 20212012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25321296000).

20212012100 is an abundant number, since it is smaller than the sum of its proper divisors (30430579900).

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

20212012100 is a wasteful number, since it uses less digits than its factorization.

20212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212012100 its reverse (121021202), we get a palindrome (20333033302).

The spelling of 20212012100 in words is "twenty billion, two hundred twelve million, twelve thousand, one hundred".