101012122112 has 160 divisors (see below), whose sum is σ = 240653597184. Its totient is φ = 41818521600.

The previous prime is 101012122091. The next prime is 101012122151. The reversal of 101012122112 is 211221210101.

101012122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2951048 + ... + 2985080.

Almost surely, 2^101012122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120326798592).

101012122112 is an abundant number, since it is smaller than the sum of its proper divisors (139641475072).

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

101012122112 is a wasteful number, since it uses less digits than its factorization.

101012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34110 (or 34094 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012122112 its reverse (211221210101), we get a palindrome (312233332213).

The spelling of 101012122112 in words is "one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred twelve".