202112112122112 has 72 divisors (see below), whose sum is σ = 561300485344704. Its totient is φ = 64441542989824.

The previous prime is 202112112122099. The next prime is 202112112122117. The reversal of 202112112122112 is 211221211211202.

It is a super-2 number, since 2×202112112122112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202112112122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5721000003 + ... + 5721035330.

It is an arithmetic number, because the mean of its divisors is an integer number (7795840074232).

Almost surely, 2^{202112112122112} is an apocalyptic number.

It is an amenable number.

202112112122112 is an abundant number, since it is smaller than the sum of its proper divisors (359188373222592).

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

202112112122112 is a wasteful number, since it uses less digits than its factorization.

202112112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11442035375 (or 11442035361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 202112112122112 its reverse (211221211211202), we get a palindrome (413333323333314).

The spelling of 202112112122112 in words is "two hundred two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".