202202112120100 has 72 divisors (see below), whose sum is σ = 452551074127488. Its totient is φ = 78376213488000.

The previous prime is 202202112120007. The next prime is 202202112120101. The reversal of 202202112120100 is 1021211202202.

It is a happy number.

202202112120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202202112120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212504142 + ... + 213453541.

It is an arithmetic number, because the mean of its divisors is an integer number (6285431585104).

Almost surely, 2^{202202112120100} is an apocalyptic number.

202202112120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202112120100 is an abundant number, since it is smaller than the sum of its proper divisors (250348962007388).

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

202202112120100 is a wasteful number, since it uses less digits than its factorization.

202202112120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425957845 (or 425957838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202202112120100 its reverse (1021211202202), we get a palindrome (203223323322302).

The spelling of 202202112120100 in words is "two hundred two trillion, two hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred".