101112222120 has 256 divisors, whose sum is σ = 383429168640. Its totient is φ = 20756901888.

The previous prime is 101112222091. The next prime is 101112222151. The reversal of 101112222120 is 21222211101.

101112222120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101112222120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278914 + ... + 529166.

It is an arithmetic number, because the mean of its divisors is an integer number (1497770190).

Almost surely, 2^101112222120 is an apocalyptic number.

101112222120 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 101112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191714584320).

101112222120 is an abundant number, since it is smaller than the sum of its proper divisors (282316946520).

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

101112222120 is a wasteful number, since it uses less digits than its factorization.

101112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250324 (or 250320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101112222120 its reverse (21222211101), we get a palindrome (122334433221).

The spelling of 101112222120 in words is "one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".