101114120 has 32 divisors (see below), whose sum is σ = 227799000. Its totient is φ = 40393728.

The previous prime is 101114093. The next prime is 101114161. The reversal of 101114120 is 21411101.

It can be written as a sum of positive squares in 4 ways, for example, as 100681156 + 432964 = 10034^2 + 658^2 .

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, 50906 + ... + 52854.

Almost surely, 2^101114120 is an apocalyptic number.

101114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114120 is an abundant number, since it is smaller than the sum of its proper divisors (126684880).

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

101114120 is a wasteful number, since it uses less digits than its factorization.

101114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101114120 is about 10055.5517004290. The cubic root of 101114120 is about 465.8762834159.

Adding to 101114120 its reverse (21411101), we get a palindrome (122525221).

The spelling of 101114120 in words is "one hundred one million, one hundred fourteen thousand, one hundred twenty".