101516446013315 has 64 divisors (see below), whose sum is σ = 125797139500032. Its totient is φ = 78599844288000.

The previous prime is 101516446013207. The next prime is 101516446013317. The reversal of 101516446013315 is 513310644615101.

It is not a de Polignac number, because 101516446013315 - 2³⁴ = 101499266144131 is a prime.

It is a super-2 number, since 2×101516446013315² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101516446013317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18971487890 + ... + 18971493240.

It is an arithmetic number, because the mean of its divisors is an integer number (1965580304688).

Almost surely, 2^{101516446013315} is an apocalyptic number.

101516446013315 is a deficient number, since it is larger than the sum of its proper divisors (24280693486717).

101516446013315 is a wasteful number, since it uses less digits than its factorization.

101516446013315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260.

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 101516446013315 in words is "one hundred one trillion, five hundred sixteen billion, four hundred forty-six million, thirteen thousand, three hundred fifteen".