202100222102000 has 80 divisors (see below), whose sum is σ = 493161625070400. Its totient is φ = 80098436563200.

The previous prime is 202100222101951. The next prime is 202100222102011. The reversal of 202100222102000 is 201222001202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463314620 + ... + 463750619.

It is an arithmetic number, because the mean of its divisors is an integer number (6164520313380).

Almost surely, 2^{202100222102000} is an apocalyptic number.

202100222102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100222102000 is an abundant number, since it is smaller than the sum of its proper divisors (291061402968400).

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

202100222102000 is a wasteful number, since it uses less digits than its factorization.

202100222102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927065371 (or 927065355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202100222102000 its reverse (201222001202), we get a palindrome (202301444103202).

The spelling of 202100222102000 in words is "two hundred two trillion, one hundred billion, two hundred twenty-two million, one hundred two thousand".