201121010112000 has 2560 divisors, whose sum is σ = 786441983348736. Its totient is φ = 45105020928000.

The previous prime is 201121010111941. The next prime is 201121010112073. The reversal of 201121010112000 is 211010121102.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 569747903824 + ... + 569747904176.

Almost surely, 2^{201121010112000} is an apocalyptic number.

201121010112000 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 201121010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393220991674368).

201121010112000 is an abundant number, since it is smaller than the sum of its proper divisors (585320973236736).

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

201121010112000 is a wasteful number, since it uses less digits than its factorization.

201121010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201121010112000 its reverse (211010121102), we get a palindrome (201332020233102).

The spelling of 201121010112000 in words is "two hundred one trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand".