201001120000 has 180 divisors, whose sum is σ = 508258352140. Its totient is φ = 79294464000.

The previous prime is 201001119989. The next prime is 201001120031. The reversal of 201001120000 is 21100102.

It can be written as a sum of positive squares in 10 ways, for example, as 152699629824 + 48301490176 = 390768^2 + 219776^2 .

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, 11671396 + ... + 11688604.

Almost surely, 2^201001120000 is an apocalyptic number.

201001120000 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 201001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254129176070).

201001120000 is an abundant number, since it is smaller than the sum of its proper divisors (307257232140).

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

201001120000 is an frugal number, since it uses more digits than its factorization.

201001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17318 (or 17289 counting only the distinct ones).

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

Adding to 201001120000 its reverse (21100102), we get a palindrome (201022220102).

The spelling of 201001120000 in words is "two hundred one billion, one million, one hundred twenty thousand".