101121012210112 has 56 divisors (see below), whose sum is σ = 204895554928416. Its totient is φ = 49503896875008.

The previous prime is 101121012210107. The next prime is 101121012210299. The reversal of 101121012210112 is 211012210121101.

It is a super-2 number, since 2×101121012210112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 78352828 + ... + 79632955.

Almost surely, 2^{101121012210112} is an apocalyptic number.

It is an amenable number.

101121012210112 is an abundant number, since it is smaller than the sum of its proper divisors (103774542718304).

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

101121012210112 is a wasteful number, since it uses less digits than its factorization.

101121012210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157986005 (or 157985995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101121012210112 its reverse (211012210121101), we get a palindrome (312133222331213).

The spelling of 101121012210112 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, two hundred ten thousand, one hundred twelve".