202001011000 has 64 divisors (see below), whose sum is σ = 472978116000. Its totient is φ = 80749849600.

The previous prime is 202001010961. The next prime is 202001011031. The reversal of 202001011000 is 110100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556616 + ... + 1681384.

Almost surely, 2^202001011000 is an apocalyptic number.

202001011000 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 202001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236489058000).

202001011000 is an abundant number, since it is smaller than the sum of its proper divisors (270977105000).

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

202001011000 is a wasteful number, since it uses less digits than its factorization.

202001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126409 (or 126395 counting only the distinct ones).

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

Adding to 202001011000 its reverse (110100202), we get a palindrome (202111111202).

The spelling of 202001011000 in words is "two hundred two billion, one million, eleven thousand".