201102112000 has 144 divisors (see below), whose sum is σ = 530440786512. Its totient is φ = 75708825600.

The previous prime is 201102111997. The next prime is 201102112109. The reversal of 201102112000 is 211201102.

It can be written as a sum of positive squares in 8 ways, for example, as 985457664 + 200116654336 = 31392^2 + 447344^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359164 + ... + 728836.

It is an arithmetic number, because the mean of its divisors is an integer number (3683616573).

Almost surely, 2^201102112000 is an apocalyptic number.

201102112000 is a gapful number since it is divisible by the number (20) 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 201102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265220393256).

201102112000 is an abundant number, since it is smaller than the sum of its proper divisors (329338674512).

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

201102112000 is an equidigital number, since it uses as much as digits as its factorization.

201102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369721 (or 369697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201102112000 its reverse (211201102), we get a palindrome (201313313102).

The spelling of 201102112000 in words is "two hundred one billion, one hundred two million, one hundred twelve thousand".