201322112100 has 72 divisors (see below), whose sum is σ = 582585503808. Its totient is φ = 53677276800.

The previous prime is 201322112093. The next prime is 201322112119. The reversal of 201322112100 is 1211223102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201322112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940545 + ... + 2041655.

Almost surely, 2^201322112100 is an apocalyptic number.

201322112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322112100 is an abundant number, since it is smaller than the sum of its proper divisors (381263391708).

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

201322112100 is a wasteful number, since it uses less digits than its factorization.

201322112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107765 (or 107758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201322112100 its reverse (1211223102), we get a palindrome (202533335202).

The spelling of 201322112100 in words is "two hundred one billion, three hundred twenty-two million, one hundred twelve thousand, one hundred".