201120122101120 has 64 divisors (see below), whose sum is σ = 481260265241040. Its totient is φ = 80371504281600.

The previous prime is 201120122101097. The next prime is 201120122101169. The reversal of 201120122101120 is 21101221021102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201120122101094 and 201120122101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148827927 + ... + 150173206.

Almost surely, 2^{201120122101120} is an apocalyptic number.

201120122101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120122101120 is an abundant number, since it is smaller than the sum of its proper divisors (280140143139920).

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

201120122101120 is a wasteful number, since it uses less digits than its factorization.

201120122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299002203 (or 299002191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201120122101120 its reverse (21101221021102), we get a palindrome (222221343122222).

The spelling of 201120122101120 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".