201121221100000 has 288 divisors, whose sum is σ = 507583082603520. Its totient is φ = 78397865280000.

The previous prime is 201121221099971. The next prime is 201121221100049. The reversal of 201121221100000 is 1122121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1887646729 + ... + 1887753271.

It is an arithmetic number, because the mean of its divisors is an integer number (1762441259040).

Almost surely, 2^{201121221100000} is an apocalyptic number.

201121221100000 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 201121221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253791541301760).

201121221100000 is an abundant number, since it is smaller than the sum of its proper divisors (306461861503520).

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

201121221100000 is an equidigital number, since it uses as much as digits as its factorization.

201121221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107060 (or 107032 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201121221100000 its reverse (1122121102), we get a palindrome (201122343221102).

The spelling of 201121221100000 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand".