201111122201000 has 256 divisors, whose sum is σ = 518819086656000. Its totient is φ = 72358023168000.

The previous prime is 201111122200973. The next prime is 201111122201053. The reversal of 201111122201000 is 102221111102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306272026 + ... + 1306425974.

It is an arithmetic number, because the mean of its divisors is an integer number (2026637057250).

Almost surely, 2^{201111122201000} is an apocalyptic number.

201111122201000 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 201111122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259409543328000).

201111122201000 is an abundant number, since it is smaller than the sum of its proper divisors (317707964455000).

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

201111122201000 is a wasteful number, since it uses less digits than its factorization.

201111122201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155237 (or 155223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201111122201000 its reverse (102221111102), we get a palindrome (201213343312102).

The spelling of 201111122201000 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand".