201132223112100 has 144 divisors (see below), whose sum is σ = 665081543806848. Its totient is φ = 45972780533760.

The previous prime is 201132223112027. The next prime is 201132223112129. The reversal of 201132223112100 is 1211322231102.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 579663862 + ... + 580010738.

It is an arithmetic number, because the mean of its divisors is an integer number (4618621831992).

Almost surely, 2^{201132223112100} is an apocalyptic number.

201132223112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201132223112100 is an abundant number, since it is smaller than the sum of its proper divisors (463949320694748).

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

201132223112100 is a wasteful number, since it uses less digits than its factorization.

201132223112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623014 (or 623007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201132223112100 its reverse (1211322231102), we get a palindrome (202343545343202).

The spelling of 201132223112100 in words is "two hundred one trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred twelve thousand, one hundred".