101415120 has 40 divisors (see below), whose sum is σ = 314387616. Its totient is φ = 27043968.

The previous prime is 101415107. The next prime is 101415133. The reversal of 101415120 is 21514101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101415107) and next prime (101415133).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101415120² = 20570053129228800, 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 101415120.

It is a congruent number.

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, 211042 + ... + 211521.

Almost surely, 2^101415120 is an apocalyptic number.

101415120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101415120 is an abundant number, since it is smaller than the sum of its proper divisors (212972496).

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

101415120 is a wasteful number, since it uses less digits than its factorization.

101415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422579 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101415120 is about 10070.5074350799. The cubic root of 101415120 is about 466.3381043269.

Adding to 101415120 its reverse (21514101), we get a palindrome (122929221).

The spelling of 101415120 in words is "one hundred one million, four hundred fifteen thousand, one hundred twenty".