102201021105817 has 2 divisors, whose sum is σ = 102201021105818. Its totient is φ = 102201021105816.

The previous prime is 102201021105787. The next prime is 102201021105847. The reversal of 102201021105817 is 718501120102201.

It is a balanced prime because it is at equal distance from previous prime (102201021105787) and next prime (102201021105847).

It can be written as a sum of positive squares in only one way, i.e., 91999250957376 + 10201770148441 = 9591624^2 + 3194021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201021105817 is a prime.

It is a super-2 number, since 2×102201021105817² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102201021105847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100510552908 + 51100510552909.

It is an arithmetic number, because the mean of its divisors is an integer number (51100510552909).

Almost surely, 2^{102201021105817} is an apocalyptic number.

It is an amenable number.

102201021105817 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201021105817 is an equidigital number, since it uses as much as digits as its factorization.

102201021105817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 31.

The spelling of 102201021105817 in words is "one hundred two trillion, two hundred one billion, twenty-one million, one hundred five thousand, eight hundred seventeen".