202122212100120 has 256 divisors, whose sum is σ = 735786171187200. Its totient is φ = 49052410928640.

The previous prime is 202122212100103. The next prime is 202122212100161. The reversal of 202122212100120 is 21001212221202.

It is a happy number.

202122212100120 is a `hidden beast` number, since 2 + 0 + 212 + 221 + 210 + 0 + 1 + 20 = 666.

202122212100120 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 202122212100093 and 202122212100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100384632 + ... + 102378311.

It is an arithmetic number, because the mean of its divisors is an integer number (2874164731200).

Almost surely, 2^{202122212100120} is an apocalyptic number.

202122212100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122212100120 is an abundant number, since it is smaller than the sum of its proper divisors (533663959087080).

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

202122212100120 is a wasteful number, since it uses less digits than its factorization.

202122212100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202763047 (or 202763037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122212100120 its reverse (21001212221202), we get a palindrome (223123424321322).

The spelling of 202122212100120 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred twenty".