20132122100 has 36 divisors (see below), whose sum is σ = 43702413804. Its totient is φ = 8049953280.

The previous prime is 20132122097. The next prime is 20132122123. The reversal of 20132122100 is 122123102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29986576 + 20102135524 = 5476^2 + 141782^2 .

It is a congruent number.

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, 254954 + ... + 324446.

It is an arithmetic number, because the mean of its divisors is an integer number (1213955939).

Almost surely, 2^20132122100 is an apocalyptic number.

20132122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132122100 is an abundant number, since it is smaller than the sum of its proper divisors (23570291704).

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

20132122100 is a wasteful number, since it uses less digits than its factorization.

20132122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72404 (or 72397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20132122100 its reverse (122123102), we get a palindrome (20254245202).

The spelling of 20132122100 in words is "twenty billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred".