202201202001000 has 256 divisors, whose sum is σ = 668620697472000. Its totient is φ = 50699680051200.

The previous prime is 202201202000981. The next prime is 202201202001013. The reversal of 202201202001000 is 100202102202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 51081046 + ... + 54896954.

It is an arithmetic number, because the mean of its divisors is an integer number (2611799599500).

Almost surely, 2^{202201202001000} is an apocalyptic number.

202201202001000 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 202201202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334310348736000).

202201202001000 is an abundant number, since it is smaller than the sum of its proper divisors (466419495471000).

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

202201202001000 is a wasteful number, since it uses less digits than its factorization.

202201202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816989 (or 3816975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202201202001000 its reverse (100202102202), we get a palindrome (202301404103202).

The spelling of 202201202001000 in words is "two hundred two trillion, two hundred one billion, two hundred two million, one thousand".