101190120 has 64 divisors (see below), whose sum is σ = 321433920. Its totient is φ = 25396224.

The previous prime is 101190097. The next prime is 101190121. The reversal of 101190120 is 21091101.

It is a super-2 number, since 2×101190120² = 20478880771228800, which contains 22 as substring.

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 101190120.

It is not an unprimeable number, because it can be changed into a prime (101190121) 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, 22762 + ... + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (5022405).

Almost surely, 2^101190120 is an apocalyptic number.

101190120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101190120 is an abundant number, since it is smaller than the sum of its proper divisors (220243800).

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

101190120 is a wasteful number, since it uses less digits than its factorization.

101190120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49634 (or 49630 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101190120 is about 10059.3299975694. The cubic root of 101190120 is about 465.9929757579.

The spelling of 101190120 in words is "one hundred one million, one hundred ninety thousand, one hundred twenty".