201001202112000 has 320 divisors, whose sum is σ = 674895433088448. Its totient is φ = 53069619200000.

The previous prime is 201001202111953. The next prime is 201001202112001. The reversal of 201001202112000 is 211202100102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001202112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14209420 + ... + 24574580.

Almost surely, 2^{201001202112000} is an apocalyptic number.

201001202112000 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 201001202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337447716544224).

201001202112000 is an abundant number, since it is smaller than the sum of its proper divisors (473894230976448).

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

201001202112000 is a wasteful number, since it uses less digits than its factorization.

201001202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365298 (or 10365272 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001202112000 its reverse (211202100102), we get a palindrome (201212404212102).

The spelling of 201001202112000 in words is "two hundred one trillion, one billion, two hundred two million, one hundred twelve thousand".