101122022010112 has 72 divisors (see below), whose sum is σ = 202738642981056. Its totient is φ = 50338224009216.

The previous prime is 101122022010109. The next prime is 101122022010157. The reversal of 101122022010112 is 211010220221101.

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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544314423 + ... + 544500169.

It is an arithmetic number, because the mean of its divisors is an integer number (2815814485848).

Almost surely, 2^{101122022010112} 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 101122022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101369321490528).

101122022010112 is an abundant number, since it is smaller than the sum of its proper divisors (101616620970944).

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

101122022010112 is an equidigital number, since it uses as much as digits as its factorization.

101122022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195123 (or 195109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122022010112 its reverse (211010220221101), we get a palindrome (312132242231213).

The spelling of 101122022010112 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-two million, ten thousand, one hundred twelve".