202012022100 has 144 divisors (see below), whose sum is σ = 672793049600. Its totient is φ = 45841921920.

The previous prime is 202012022087. The next prime is 202012022101. The reversal of 202012022100 is 1220210202.

202012022100 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012022101) 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, 54130 + ... + 637929.

Almost surely, 2^202012022100 is an apocalyptic number.

202012022100 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 202012022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336396524800).

202012022100 is an abundant number, since it is smaller than the sum of its proper divisors (470781027500).

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

202012022100 is a wasteful number, since it uses less digits than its factorization.

202012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692222 (or 692215 counting only the distinct ones).

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

Adding to 202012022100 its reverse (1220210202), we get a palindrome (203232232302).

The spelling of 202012022100 in words is "two hundred two billion, twelve million, twenty-two thousand, one hundred".