120132113101 has 48 divisors (see below), whose sum is σ = 163045419264. Its totient is φ = 86128416000.

The previous prime is 120132113051. The next prime is 120132113107. The reversal of 120132113101 is 101311231021.

It is a happy number.

It is not a de Polignac number, because 120132113101 - 2¹⁵ = 120132080333 is a prime.

It is a super-2 number, since 2×120132113101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132113107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3406881 + ... + 3441961.

It is an arithmetic number, because the mean of its divisors is an integer number (3396779568).

Almost surely, 2^120132113101 is an apocalyptic number.

120132113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120132113101 is a deficient number, since it is larger than the sum of its proper divisors (42913306163).

120132113101 is a wasteful number, since it uses less digits than its factorization.

120132113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35434 (or 35423 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 120132113101 its reverse (101311231021), we get a palindrome (221443344122).

The spelling of 120132113101 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred one".