201111112100000 has 144 divisors (see below), whose sum is σ = 494958230942616. Its totient is φ = 80433386880000.

The previous prime is 201111112099967. The next prime is 201111112100021. The reversal of 201111112100000 is 1211111102.

It can be written as a sum of positive squares in 12 ways, for example, as 83422722028816 + 117688390071184 = 9133604^2 + 10848428^2 .

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, 747565514 + ... + 747834486.

Almost surely, 2^{201111112100000} is an apocalyptic number.

201111112100000 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 201111112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247479115471308).

201111112100000 is an abundant number, since it is smaller than the sum of its proper divisors (293847118842616).

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

201111112100000 is an frugal number, since it uses more digits than its factorization.

201111112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276485 (or 276457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201111112100000 its reverse (1211111102), we get a palindrome (201112323211102).

The spelling of 201111112100000 in words is "two hundred one trillion, one hundred eleven billion, one hundred twelve million, one hundred thousand".