100102786259617 has 16 divisors (see below), whose sum is σ = 103920594624000. Its totient is φ = 96322378360320.

The previous prime is 100102786259611. The next prime is 100102786259639. The reversal of 100102786259617 is 716952687201001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102786259617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102786259611) 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, 4825009 + ... + 14949457.

It is an arithmetic number, because the mean of its divisors is an integer number (6495037164000).

Almost surely, 2^{100102786259617} is an apocalyptic number.

It is an amenable number.

100102786259617 is a deficient number, since it is larger than the sum of its proper divisors (3817808364383).

100102786259617 is a wasteful number, since it uses less digits than its factorization.

100102786259617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126296.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 100102786259617 in words is "one hundred trillion, one hundred two billion, seven hundred eighty-six million, two hundred fifty-nine thousand, six hundred seventeen".