202202000100 has 648 divisors, whose sum is σ = 702454185888. Its totient is φ = 48599654400.

The previous prime is 202202000027. The next prime is 202202000113. The reversal of 202202000100 is 1000202202.

202202000100 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 (9).

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 215 ways as a sum of consecutive naturals, for example, 714494559 + ... + 714494841.

Almost surely, 2^202202000100 is an apocalyptic number.

202202000100 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 202202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351227092944).

202202000100 is an abundant number, since it is smaller than the sum of its proper divisors (500252185788).

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

202202000100 is a wasteful number, since it uses less digits than its factorization.

202202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202202000100 its reverse (1000202202), we get a palindrome (203202202302).

The spelling of 202202000100 in words is "two hundred two billion, two hundred two million, one hundred", and thus it is an aban number.