202042203301000 has 128 divisors (see below), whose sum is σ = 484544050997760. Its totient is φ = 78817872000000.

The previous prime is 202042203300961. The next prime is 202042203301013. The reversal of 202042203301000 is 103302240202.

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 31 ways as a sum of consecutive naturals, for example, 5706000 + ... + 20896000.

It is an arithmetic number, because the mean of its divisors is an integer number (3785500398420).

Almost surely, 2^{202042203301000} is an apocalyptic number.

202042203301000 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 202042203301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242272025498880).

202042203301000 is an abundant number, since it is smaller than the sum of its proper divisors (282501847696760).

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

202042203301000 is a wasteful number, since it uses less digits than its factorization.

202042203301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190352 (or 15190338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 202042203301000 its reverse (103302240202), we get a palindrome (202145505541202).

The spelling of 202042203301000 in words is "two hundred two trillion, forty-two billion, two hundred three million, three hundred one thousand".