101516521345 has 16 divisors (see below), whose sum is σ = 125867335680. Its totient is φ = 78519787200.

The previous prime is 101516521321. The next prime is 101516521349. The reversal of 101516521345 is 543125615101.

It is not a de Polignac number, because 101516521345 - 2⁷ = 101516521217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101516521345.

It is not an unprimeable number, because it can be changed into a prime (101516521349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140641 + ... + 472030.

It is an arithmetic number, because the mean of its divisors is an integer number (7866708480).

Almost surely, 2^101516521345 is an apocalyptic number.

It is an amenable number.

101516521345 is a deficient number, since it is larger than the sum of its proper divisors (24350814335).

101516521345 is a wasteful number, since it uses less digits than its factorization.

101516521345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613776.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 101516521345 in words is "one hundred one billion, five hundred sixteen million, five hundred twenty-one thousand, three hundred forty-five".