201121111110120 has 64 divisors (see below), whose sum is σ = 603648882285120. Its totient is φ = 53606914166784.

The previous prime is 201121111110109. The next prime is 201121111110131. The reversal of 201121111110120 is 21011111121102.

201121111110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201121111110109) and next prime (201121111110131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201121111110120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396341154 + ... + 396848273.

It is an arithmetic number, because the mean of its divisors is an integer number (9432013785705).

Almost surely, 2^{201121111110120} is an apocalyptic number.

201121111110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121111110120 is an abundant number, since it is smaller than the sum of its proper divisors (402527771175000).

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

201121111110120 is a wasteful number, since it uses less digits than its factorization.

201121111110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793191554 (or 793191550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201121111110120 its reverse (21011111121102), we get a palindrome (222132222231222).

The spelling of 201121111110120 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty".