202202012100 has 144 divisors (see below), whose sum is σ = 638426638080. Its totient is φ = 49003036800.

The previous prime is 202202012083. The next prime is 202202012101. The reversal of 202202012100 is 1210202202.

202202012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (202202012101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12938091 + ... + 12953709.

It is an arithmetic number, because the mean of its divisors is an integer number (4433518320).

Almost surely, 2^202202012100 is an apocalyptic number.

202202012100 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 202202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319213319040).

202202012100 is an abundant number, since it is smaller than the sum of its proper divisors (436224625980).

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

202202012100 is a wasteful number, since it uses less digits than its factorization.

202202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19570 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202202012100 its reverse (1210202202), we get a palindrome (203412214302).

The spelling of 202202012100 in words is "two hundred two billion, two hundred two million, twelve thousand, one hundred".