20213212002100 has 144 divisors (see below), whose sum is σ = 47406741382000. Its totient is φ = 7436508549120.

The previous prime is 20213212002079. The next prime is 20213212002131. The reversal of 20213212002100 is 120021231202.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 16398174885156 + 3815037116944 = 4049466^2 + 1953212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648321712 + ... + 648352888.

Almost surely, 2^{20213212002100} is an apocalyptic number.

20213212002100 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 20213212002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703370691000).

20213212002100 is an abundant number, since it is smaller than the sum of its proper divisors (27193529379900).

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

20213212002100 is a wasteful number, since it uses less digits than its factorization.

20213212002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32982 (or 32975 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20213212002100 its reverse (120021231202), we get a palindrome (20333233233302).

The spelling of 20213212002100 in words is "twenty trillion, two hundred thirteen billion, two hundred twelve million, two thousand, one hundred".