202001101000 has 64 divisors (see below), whose sum is σ = 472806013680. Its totient is φ = 80779340800.

The previous prime is 202001100979. The next prime is 202001101007. The reversal of 202001101000 is 101100202.

It can be written as a sum of positive squares in 8 ways, for example, as 8997281316 + 193003819684 = 94854^2 + 439322^2 .

It is not an unprimeable number, because it can be changed into a prime (202001101007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132704 + ... + 4181296.

Almost surely, 2^202001101000 is an apocalyptic number.

202001101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001101000 is an abundant number, since it is smaller than the sum of its proper divisors (270804912680).

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

202001101000 is a wasteful number, since it uses less digits than its factorization.

202001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52771 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 202001101000 its reverse (101100202), we get a palindrome (202102201202).

The spelling of 202001101000 in words is "two hundred two billion, one million, one hundred one thousand".