101516387468081 has 24 divisors (see below), whose sum is σ = 105315602596512. Its totient is φ = 97844106124800.

The previous prime is 101516387467993. The next prime is 101516387468107. The reversal of 101516387468081 is 180864783615101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101516387468081 is a prime.

It is a super-2 number, since 2×101516387468081² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101516387468081.

It is not an unprimeable number, because it can be changed into a prime (101516387458081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57445166 + ... + 59185976.

It is an arithmetic number, because the mean of its divisors is an integer number (4388150108188).

Almost surely, 2^{101516387468081} is an apocalyptic number.

It is an amenable number.

101516387468081 is a deficient number, since it is larger than the sum of its proper divisors (3799215128431).

101516387468081 is a wasteful number, since it uses less digits than its factorization.

101516387468081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741313 (or 1741272 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 59.

The spelling of 101516387468081 in words is "one hundred one trillion, five hundred sixteen billion, three hundred eighty-seven million, four hundred sixty-eight thousand, eighty-one".