201110001021200 has 120 divisors (see below), whose sum is σ = 488392507019592. Its totient is φ = 79574783016960.

The previous prime is 201110001021191. The next prime is 201110001021269. The reversal of 201110001021200 is 2120100011102.

It can be written as a sum of positive squares in 12 ways, for example, as 44478868885504 + 156631132135696 = 6669248^2 + 12515236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76185842 + ... + 78781358.

Almost surely, 2^{201110001021200} is an apocalyptic number.

201110001021200 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 201110001021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244196253509796).

201110001021200 is an abundant number, since it is smaller than the sum of its proper divisors (287282505998392).

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

201110001021200 is a wasteful number, since it uses less digits than its factorization.

201110001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597629 (or 2597618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201110001021200 its reverse (2120100011102), we get a palindrome (203230101032302).

The spelling of 201110001021200 in words is "two hundred one trillion, one hundred ten billion, one million, twenty-one thousand, two hundred".