112010020001100 has 360 divisors, whose sum is σ = 396858586122768. Its totient is φ = 27160177651200.

The previous prime is 112010020001059. The next prime is 112010020001141. The reversal of 112010020001100 is 1100020010211.

112010020001100 = T₄₉₃ + T₄₉₄ + ... + T₈₇₅₉₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112010020001059) and next prime (112010020001141).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 883131 + ... + 14993330.

Almost surely, 2^{112010020001100} is an apocalyptic number.

112010020001100 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 112010020001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198429293061384).

112010020001100 is an abundant number, since it is smaller than the sum of its proper divisors (284848566121668).

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

112010020001100 is a wasteful number, since it uses less digits than its factorization.

112010020001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15876567 (or 15876551 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112010020001100 its reverse (1100020010211), we get a palindrome (113110040011311).

The spelling of 112010020001100 in words is "one hundred twelve trillion, ten billion, twenty million, one thousand, one hundred".