202002212100 has 144 divisors (see below), whose sum is σ = 631225918400. Its totient is φ = 49580812800.

The previous prime is 202002212099. The next prime is 202002212117. The reversal of 202002212100 is 1212200202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286895 + ... + 1435305.

Almost surely, 2^202002212100 is an apocalyptic number.

202002212100 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 202002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315612959200).

202002212100 is an abundant number, since it is smaller than the sum of its proper divisors (429223706300).

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

202002212100 is a wasteful number, since it uses less digits than its factorization.

202002212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148790 (or 148783 counting only the distinct ones).

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

Adding to 202002212100 its reverse (1212200202), we get a palindrome (203214412302).

The spelling of 202002212100 in words is "two hundred two billion, two million, two hundred twelve thousand, one hundred".