201053002000000 has 448 divisors, whose sum is σ = 512321114080800. Its totient is φ = 78565593600000.

The previous prime is 201053001999953. The next prime is 201053002000051. The reversal of 201053002000000 is 200350102.

201053002000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201053002000000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19233994774 + ... + 19234005226.

Almost surely, 2^{201053002000000} is an apocalyptic number.

201053002000000 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 201053002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256160557040400).

201053002000000 is an abundant number, since it is smaller than the sum of its proper divisors (311268112080800).

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

201053002000000 is an frugal number, since it uses more digits than its factorization.

201053002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 201053002000000 its reverse (200350102), we get a palindrome (201053202350102).

The spelling of 201053002000000 in words is "two hundred one trillion, fifty-three billion, two million", and thus it is an aban number.