101520113665416 has 128 divisors (see below), whose sum is σ = 257434907304960. Its totient is φ = 33359109804800.

The previous prime is 101520113665387. The next prime is 101520113665417. The reversal of 101520113665416 is 614566311025101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101520113665417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824788870 + ... + 824911946.

It is an arithmetic number, because the mean of its divisors is an integer number (2011210213320).

Almost surely, 2^{101520113665416} is an apocalyptic number.

It is an amenable number.

101520113665416 is an abundant number, since it is smaller than the sum of its proper divisors (155914793639544).

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

101520113665416 is a wasteful number, since it uses less digits than its factorization.

101520113665416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124955 (or 124951 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 101520113665416 in words is "one hundred one trillion, five hundred twenty billion, one hundred thirteen million, six hundred sixty-five thousand, four hundred sixteen".