202001222101200 has 120 divisors (see below), whose sum is σ = 669390256802400. Its totient is φ = 52009510049280.

The previous prime is 202001222101181. The next prime is 202001222101241. The reversal of 202001222101200 is 2101222100202.

It is a tau number, because it is divible by the number of its divisors (120).

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 202001222101200.

It is a congruent number.

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, 2902281610 + ... + 2902351209.

It is an arithmetic number, because the mean of its divisors is an integer number (5578252140020).

Almost surely, 2^{202001222101200} is an apocalyptic number.

202001222101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001222101200 is an abundant number, since it is smaller than the sum of its proper divisors (467389034701200).

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

202001222101200 is a wasteful number, since it uses less digits than its factorization.

202001222101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804632869 (or 5804632858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202001222101200 its reverse (2101222100202), we get a palindrome (204102444201402).

The spelling of 202001222101200 in words is "two hundred two trillion, one billion, two hundred twenty-two million, one hundred one thousand, two hundred".