101357120 has 56 divisors (see below), whose sum is σ = 242279424. Its totient is φ = 40388096.

The previous prime is 101357119. The next prime is 101357167. The reversal of 101357120 is 21753101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101357092 and 101357101.

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, 122147 + ... + 122973.

Almost surely, 2^101357120 is an apocalyptic number.

101357120 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 101357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121139712).

101357120 is an abundant number, since it is smaller than the sum of its proper divisors (140922304).

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

101357120 is an equidigital number, since it uses as much as digits as its factorization.

101357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 101357120 is about 10067.6273272306. The cubic root of 101357120 is about 466.2491867246.

The spelling of 101357120 in words is "one hundred one million, three hundred fifty-seven thousand, one hundred twenty".