202112112121020 has 96 divisors (see below), whose sum is σ = 628795829975040. Its totient is φ = 53896341038400.

The previous prime is 202112112121013. The next prime is 202112112121027. The reversal of 202112112121020 is 20121211211202.

202112112121020 is a `hidden beast` number, since 2 + 0 + 211 + 211 + 212 + 10 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (202112112121013) and next prime (202112112121027).

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 = 202112112120984 and 202112112121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112112121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162169245 + ... + 163410795.

It is an arithmetic number, because the mean of its divisors is an integer number (6549956562240).

Almost surely, 2^{202112112121020} is an apocalyptic number.

202112112121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112121020 is an abundant number, since it is smaller than the sum of its proper divisors (426683717854020).

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

202112112121020 is a wasteful number, since it uses less digits than its factorization.

202112112121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543032 (or 1543024 counting only the distinct ones).

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

Adding to 202112112121020 its reverse (20121211211202), we get a palindrome (222233323332222).

The spelling of 202112112121020 in words is "two hundred two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, twenty".