202101122120200 has 192 divisors, whose sum is σ = 479641879080000. Its totient is φ = 79172550589440.

The previous prime is 202101122120137. The next prime is 202101122120263. The reversal of 202101122120200 is 2021221101202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202101122120137) and next prime (202101122120263).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789445502 + ... + 4789487698.

It is an arithmetic number, because the mean of its divisors is an integer number (2498134786875).

Almost surely, 2^{202101122120200} is an apocalyptic number.

202101122120200 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 202101122120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239820939540000).

202101122120200 is an abundant number, since it is smaller than the sum of its proper divisors (277540756959800).

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

202101122120200 is a wasteful number, since it uses less digits than its factorization.

202101122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43784 (or 43775 counting only the distinct ones).

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

Adding to 202101122120200 its reverse (2021221101202), we get a palindrome (204122343221402).

The spelling of 202101122120200 in words is "two hundred two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".