2100112112032 has 192 divisors, whose sum is σ = 4629710711808. Its totient is φ = 929744640000.

The previous prime is 2100112112029. The next prime is 2100112112167. The reversal of 2100112112032 is 2302112110012.

It is a super-3 number, since 3×2100112112032³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2100112111997 and 2100112112015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829754607 + ... + 829757137.

It is an arithmetic number, because the mean of its divisors is an integer number (24113076624).

Almost surely, 2^{2100112112032} is an apocalyptic number.

2100112112032 is a gapful number since it is divisible by the number (22) 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 2100112112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314855355904).

2100112112032 is an abundant number, since it is smaller than the sum of its proper divisors (2529598599776).

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

2100112112032 is a wasteful number, since it uses less digits than its factorization.

2100112112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2100112112032 its reverse (2302112110012), we get a palindrome (4402224222044).

The spelling of 2100112112032 in words is "two trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, thirty-two".