201121111112000 has 448 divisors, whose sum is σ = 518118841880640. Its totient is φ = 77243056128000.

The previous prime is 201121111111961. The next prime is 201121111112041. The reversal of 201121111112000 is 211111121102.

It can be written as a sum of positive squares in 32 ways, for example, as 186261134653504 + 14859976458496 = 13647752^2 + 3854864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47692933892 + ... + 47692938108.

It is an arithmetic number, because the mean of its divisors is an integer number (1156515272055).

Almost surely, 2^{201121111112000} is an apocalyptic number.

201121111112000 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 201121111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259059420940320).

201121111112000 is an abundant number, since it is smaller than the sum of its proper divisors (316997730768640).

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

201121111112000 is a wasteful number, since it uses less digits than its factorization.

201121111112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201121111112000 its reverse (211111121102), we get a palindrome (201332222233102).

The spelling of 201121111112000 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand".