116564416121 has 2 divisors, whose sum is σ = 116564416122. Its totient is φ = 116564416120.

The previous prime is 116564416109. The next prime is 116564416159. The reversal of 116564416121 is 121614465611.

It is an a-pointer prime, because the next prime (116564416159) can be obtained adding 116564416121 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114674340496 + 1890075625 = 338636^2 + 43475^2 .

It is a cyclic number.

It is not a de Polignac number, because 116564416121 - 2⁶ = 116564416057 is a prime.

It is not a weakly prime, because it can be changed into another prime (116564416621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58282208060 + 58282208061.

It is an arithmetic number, because the mean of its divisors is an integer number (58282208061).

Almost surely, 2^116564416121 is an apocalyptic number.

It is an amenable number.

116564416121 is a deficient number, since it is larger than the sum of its proper divisors (1).

116564416121 is an equidigital number, since it uses as much as digits as its factorization.

116564416121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34560, while the sum is 38.

The spelling of 116564416121 in words is "one hundred sixteen billion, five hundred sixty-four million, four hundred sixteen thousand, one hundred twenty-one".