112021002100112 has 160 divisors (see below), whose sum is σ = 253356633851904. Its totient is φ = 46991447654400.

The previous prime is 112021002100103. The next prime is 112021002100177. The reversal of 112021002100112 is 211001200120211.

It is a super-3 number, since 3×112021002100112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4212727937 + ... + 4212754527.

Almost surely, 2^{112021002100112} 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 112021002100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126678316925952).

112021002100112 is an abundant number, since it is smaller than the sum of its proper divisors (141335631751792).

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

112021002100112 is a wasteful number, since it uses less digits than its factorization.

112021002100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30577 (or 30571 counting only the distinct ones).

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

Adding to 112021002100112 its reverse (211001200120211), we get a palindrome (323022202220323).

The spelling of 112021002100112 in words is "one hundred twelve trillion, twenty-one billion, two million, one hundred thousand, one hundred twelve".