201022112120 has 64 divisors (see below), whose sum is σ = 471550986720. Its totient is φ = 77056971264.

The previous prime is 201022112117. The next prime is 201022112131. The reversal of 201022112120 is 21211220102.

201022112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201022112120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201022112095 and 201022112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011419 + ... + 1193738.

Almost surely, 2^201022112120 is an apocalyptic number.

201022112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022112120 is an abundant number, since it is smaller than the sum of its proper divisors (270528874600).

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

201022112120 is a wasteful number, since it uses less digits than its factorization.

201022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205264 (or 2205260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201022112120 its reverse (21211220102), we get a palindrome (222233332222).

The spelling of 201022112120 in words is "two hundred one billion, twenty-two million, one hundred twelve thousand, one hundred twenty".