201121601055156 has 144 divisors (see below), whose sum is σ = 528857148875328. Its totient is φ = 66832390310400.

The previous prime is 201121601055121. The next prime is 201121601055211. The reversal of 201121601055156 is 651550106121102.

201121601055156 is a `hidden beast` number, since 2 + 0 + 1 + 121 + 6 + 0 + 10 + 5 + 515 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201121601055156.

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, 5904730366 + ... + 5904764426.

It is an arithmetic number, because the mean of its divisors is an integer number (3672619089412).

Almost surely, 2^{201121601055156} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121601055156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264428574437664).

201121601055156 is an abundant number, since it is smaller than the sum of its proper divisors (327735547820172).

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

201121601055156 is a wasteful number, since it uses less digits than its factorization.

201121601055156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52764 (or 52750 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Adding to 201121601055156 its reverse (651550106121102), we get a palindrome (852671707176258).

The spelling of 201121601055156 in words is "two hundred one trillion, one hundred twenty-one billion, six hundred one million, fifty-five thousand, one hundred fifty-six".