101112022012122 has 96 divisors (see below), whose sum is σ = 240908948280000. Its totient is φ = 30394785669120.

The previous prime is 101112022012117. The next prime is 101112022012151. The reversal of 101112022012122 is 221210220211101.

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 = 101112022012095 and 101112022012104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20458629 + ... + 24915447.

It is an arithmetic number, because the mean of its divisors is an integer number (2509468211250).

Almost surely, 2^{101112022012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112022012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120454474140000).

101112022012122 is an abundant number, since it is smaller than the sum of its proper divisors (139796926267878).

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

101112022012122 is a wasteful number, since it uses less digits than its factorization.

101112022012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457756 (or 4457753 counting only the distinct ones).

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

Adding to 101112022012122 its reverse (221210220211101), we get a palindrome (322322242223223).

The spelling of 101112022012122 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, twelve thousand, one hundred twenty-two".