201100112000 has 64 divisors (see below), whose sum is σ = 499985193240. Its totient is φ = 80440038400.

The previous prime is 201100111987. The next prime is 201100112063. The reversal of 201100112000 is 211001102.

It can be written as a sum of positive squares in 4 ways, for example, as 13929664576 + 187170447424 = 118024^2 + 432632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6268379 + ... + 6300378.

Almost surely, 2^201100112000 is an apocalyptic number.

201100112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100112000 is an abundant number, since it is smaller than the sum of its proper divisors (298885081240).

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

201100112000 is an equidigital number, since it uses as much as digits as its factorization.

201100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568786 (or 12568764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201100112000 its reverse (211001102), we get a palindrome (201311113102).

The spelling of 201100112000 in words is "two hundred one billion, one hundred million, one hundred twelve thousand".