202121121122100 has 216 divisors, whose sum is σ = 650697522198360. Its totient is φ = 52439217315840.

The previous prime is 202121121122087. The next prime is 202121121122153. The reversal of 202121121122100 is 1221121121202.

202121121122100 is a `hidden beast` number, since 2 + 0 + 21 + 211 + 211 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 132104625444 + 201989016496656 = 363462^2 + 14212284^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 610190124 + ... + 610521276.

Almost surely, 2^{202121121122100} is an apocalyptic number.

202121121122100 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 202121121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325348761099180).

202121121122100 is an abundant number, since it is smaller than the sum of its proper divisors (448576401076260).

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

202121121122100 is a wasteful number, since it uses less digits than its factorization.

202121121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349539 (or 349529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202121121122100 its reverse (1221121121202), we get a palindrome (203342242243302).

The spelling of 202121121122100 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".