112112000101020 has 96 divisors (see below), whose sum is σ = 314502212344320. Its totient is φ = 29840488024320.

The previous prime is 112112000100979. The next prime is 112112000101033. The reversal of 112112000101020 is 20101000211211.

It is a super-2 number, since 2×112112000101020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112112000100987 and 112112000101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282892366 + ... + 283288394.

It is an arithmetic number, because the mean of its divisors is an integer number (3276064711920).

Almost surely, 2^{112112000101020} is an apocalyptic number.

112112000101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112000101020 is an abundant number, since it is smaller than the sum of its proper divisors (202390212243300).

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

112112000101020 is a wasteful number, since it uses less digits than its factorization.

112112000101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404875 (or 404873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112112000101020 its reverse (20101000211211), we get a palindrome (132213000312231).

The spelling of 112112000101020 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred one thousand, twenty".