101130113120 has 96 divisors (see below), whose sum is σ = 257904803520. Its totient is φ = 37358970880.

The previous prime is 101130113101. The next prime is 101130113129. The reversal of 101130113120 is 21311031101.

It is a happy number.

It is a super-2 number, since 2×101130113120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101130113095 and 101130113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367091 + ... + 580530.

It is an arithmetic number, because the mean of its divisors is an integer number (2686508370).

Almost surely, 2^101130113120 is an apocalyptic number.

101130113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101130113120 is an abundant number, since it is smaller than the sum of its proper divisors (156774690400).

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

101130113120 is a wasteful number, since it uses less digits than its factorization.

101130113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947688 (or 947680 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101130113120 its reverse (21311031101), we get a palindrome (122441144221).

The spelling of 101130113120 in words is "one hundred one billion, one hundred thirty million, one hundred thirteen thousand, one hundred twenty".