20132202100 has 72 divisors (see below), whose sum is σ = 44571756600. Its totient is φ = 7890777600.

The previous prime is 20132202067. The next prime is 20132202173. The reversal of 20132202100 is 120223102.

It can be written as a sum of positive squares in 12 ways, for example, as 10853889124 + 9278312976 = 104182^2 + 96324^2 .

It is a super-2 number, since 2×20132202100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634766 + ... + 1647034.

It is an arithmetic number, because the mean of its divisors is an integer number (619052175).

Almost surely, 2^20132202100 is an apocalyptic number.

20132202100 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 20132202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285878300).

20132202100 is an abundant number, since it is smaller than the sum of its proper divisors (24439554500).

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

20132202100 is a wasteful number, since it uses less digits than its factorization.

20132202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20132202100 its reverse (120223102), we get a palindrome (20252425202).

The spelling of 20132202100 in words is "twenty billion, one hundred thirty-two million, two hundred two thousand, one hundred".