101220111210112 has 64 divisors (see below), whose sum is σ = 204109866892800. Its totient is φ = 49994819712000.

The previous prime is 101220111210073. The next prime is 101220111210149. The reversal of 101220111210112 is 211012111022101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101220111210112² (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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3242064 + ... + 14592847.

It is an arithmetic number, because the mean of its divisors is an integer number (3189216670200).

Almost surely, 2^{101220111210112} is an apocalyptic number.

It is an amenable number.

101220111210112 is an abundant number, since it is smaller than the sum of its proper divisors (102889755682688).

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

101220111210112 is a wasteful number, since it uses less digits than its factorization.

101220111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17835465 (or 17835453 counting only the distinct ones).

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

Adding to 101220111210112 its reverse (211012111022101), we get a palindrome (312232222232213).

The spelling of 101220111210112 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".