201000112020000 has 540 divisors, whose sum is σ = 734091020448786. Its totient is φ = 52151316480000.

The previous prime is 201000112019957. The next prime is 201000112020011. The reversal of 201000112020000 is 20211000102.

It can be written as a sum of positive squares in 15 ways, for example, as 246012032016 + 200754099987984 = 495996^2 + 14168772^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 246012160 + ... + 246827840.

Almost surely, 2^{201000112020000} is an apocalyptic number.

201000112020000 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 201000112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367045510224393).

201000112020000 is an abundant number, since it is smaller than the sum of its proper divisors (533090908428786).

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

201000112020000 is an equidigital number, since it uses as much as digits as its factorization.

201000112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815791 (or 815728 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000112020000 its reverse (20211000102), we get a palindrome (201020323020102).

The spelling of 201000112020000 in words is "two hundred one trillion, one hundred twelve million, twenty thousand".