116102617756001 has 16 divisors (see below), whose sum is σ = 124211111737680. Its totient is φ = 108138669096960.

The previous prime is 116102617755991. The next prime is 116102617756033. The reversal of 116102617756001 is 100657716201611.

It can be written as a sum of positive squares in 8 ways, for example, as 4072586344225 + 112030031411776 = 2018065^2 + 10584424^2 .

It is a cyclic number.

It is not a de Polignac number, because 116102617756001 - 2²⁶ = 116102550647137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116102617756091) 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, 36637376 + ... + 39680001.

It is an arithmetic number, because the mean of its divisors is an integer number (7763194483605).

Almost surely, 2^{116102617756001} is an apocalyptic number.

It is an amenable number.

116102617756001 is a deficient number, since it is larger than the sum of its proper divisors (8108493981679).

116102617756001 is a wasteful number, since it uses less digits than its factorization.

116102617756001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76318324.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 116102617756001 in words is "one hundred sixteen trillion, one hundred two billion, six hundred seventeen million, seven hundred fifty-six thousand, one".