201232111133100 has 144 divisors (see below), whose sum is σ = 598317513040800. Its totient is φ = 52181018910720.

The previous prime is 201232111133041. The next prime is 201232111133153. The reversal of 201232111133100 is 1331111232102.

It is a super-2 number, since 2×201232111133100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13665916 + ... + 24273884.

It is an arithmetic number, because the mean of its divisors is an integer number (4154982729450).

Almost surely, 2^{201232111133100} is an apocalyptic number.

201232111133100 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 201232111133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299158756520400).

201232111133100 is an abundant number, since it is smaller than the sum of its proper divisors (397085401907700).

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

201232111133100 is a wasteful number, since it uses less digits than its factorization.

201232111133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609732 (or 10609725 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 201232111133100 its reverse (1331111232102), we get a palindrome (202563222365202).

The spelling of 201232111133100 in words is "two hundred one trillion, two hundred thirty-two billion, one hundred eleven million, one hundred thirty-three thousand, one hundred".