202000102200000 has 1008 divisors, whose sum is σ = 781459604321760. Its totient is φ = 49589729280000.

The previous prime is 202000102199999. The next prime is 202000102200011. The reversal of 202000102200000 is 2201000202.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 8868588612 + ... + 8868611388.

It is an arithmetic number, because the mean of its divisors is an integer number (775257543970).

Almost surely, 2^{202000102200000} is an apocalyptic number.

202000102200000 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 202000102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390729802160880).

202000102200000 is an abundant number, since it is smaller than the sum of its proper divisors (579459502121760).

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

202000102200000 is a wasteful number, since it uses less digits than its factorization.

202000102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23212 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202000102200000 its reverse (2201000202), we get a palindrome (202002303200202).

The spelling of 202000102200000 in words is "two hundred two trillion, one hundred two million, two hundred thousand".