101415199680 has 84 divisors (see below), whose sum is σ = 348826040472. Its totient is φ = 27044052480.

The previous prime is 101415199663. The next prime is 101415199687. The reversal of 101415199680 is 86991514101.

101415199680 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 519 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×101415199680² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101415199687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17603926 + ... + 17609685.

It is an arithmetic number, because the mean of its divisors is an integer number (4152690958).

Almost surely, 2^101415199680 is an apocalyptic number.

101415199680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101415199680 is an abundant number, since it is smaller than the sum of its proper divisors (247410840792).

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

101415199680 is a wasteful number, since it uses less digits than its factorization.

101415199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35213634 (or 35213621 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 101415199680 in words is "one hundred one billion, four hundred fifteen million, one hundred ninety-nine thousand, six hundred eighty".