101130120 has 400 divisors, whose sum is σ = 427040460. Its totient is φ = 21337344.

The previous prime is 101130119. The next prime is 101130143. The reversal of 101130120 is 21031101.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 7001316 = 9702^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7779234 + ... + 7779246.

Almost surely, 2^101130120 is an apocalyptic number.

101130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213520230).

101130120 is an abundant number, since it is smaller than the sum of its proper divisors (325910340).

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

101130120 is an equidigital number, since it uses as much as digits as its factorization.

101130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101130120 is about 10056.3472493744. The cubic root of 101130120 is about 465.9008550827.

Adding to 101130120 its reverse (21031101), we get a palindrome (122161221).

The spelling of 101130120 in words is "one hundred one million, one hundred thirty thousand, one hundred twenty".