201020100020000 has 120 divisors (see below), whose sum is σ = 499436035756812. Its totient is φ = 79611920000000.

The previous prime is 201020100019987. The next prime is 201020100020027. The reversal of 201020100020000 is 20001020102.

201020100020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 28127791102096 + 172892308917904 = 5303564^2 + 13148852^2 .

It is a super-2 number, since 2×201020100020000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201020100020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47737451 + ... + 51777450.

Almost surely, 2^{201020100020000} is an apocalyptic number.

201020100020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020100020000 is an abundant number, since it is smaller than the sum of its proper divisors (298415935736812).

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

201020100020000 is an equidigital number, since it uses as much as digits as its factorization.

201020100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515032 (or 99515009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 201020100020000 its reverse (20001020102), we get a palindrome (201040101040102).

The spelling of 201020100020000 in words is "two hundred one trillion, twenty billion, one hundred million, twenty thousand".