101555120 has 80 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 38387712.

The previous prime is 101555117. The next prime is 101555123. The reversal of 101555120 is 21555101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101555117) and next prime (101555123).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 101555092 and 101555101.

It is not an unprimeable number, because it can be changed into a prime (101555123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178196 + ... + 178764.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^101555120 is an apocalyptic number.

101555120 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 101555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

101555120 is an abundant number, since it is smaller than the sum of its proper divisors (147803920).

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

101555120 is a wasteful number, since it uses less digits than its factorization.

101555120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 101555120 is about 10077.4560281849. The cubic root of 101555120 is about 466.5525934331.

The spelling of 101555120 in words is "one hundred one million, five hundred fifty-five thousand, one hundred twenty".