101112122120 has 128 divisors (see below), whose sum is σ = 238368614400. Its totient is φ = 38568192000.

The previous prime is 101112122101. The next prime is 101112122123. The reversal of 101112122120 is 21221211101.

It is a super-2 number, since 2×101112122120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112122095 and 101112122104.

It is not an unprimeable number, because it can be changed into a prime (101112122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13081697 + ... + 13089423.

It is an arithmetic number, because the mean of its divisors is an integer number (1862254800).

Almost surely, 2^101112122120 is an apocalyptic number.

101112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119184307200).

101112122120 is an abundant number, since it is smaller than the sum of its proper divisors (137256492280).

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

101112122120 is a wasteful number, since it uses less digits than its factorization.

101112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7955 counting only the distinct ones).

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

Adding to 101112122120 its reverse (21221211101), we get a palindrome (122333333221).

The spelling of 101112122120 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".