101345411776417 has 2 divisors, whose sum is σ = 101345411776418. Its totient is φ = 101345411776416.

The previous prime is 101345411776363. The next prime is 101345411776451. The reversal of 101345411776417 is 714677114543101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57537216038241 + 43808195738176 = 7585329^2 + 6618776^2 .

It is a cyclic number.

It is not a de Polignac number, because 101345411776417 - 2¹⁵ = 101345411743649 is a prime.

It is not a weakly prime, because it can be changed into another prime (101345441776417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50672705888208 + 50672705888209.

It is an arithmetic number, because the mean of its divisors is an integer number (50672705888209).

Almost surely, 2^{101345411776417} is an apocalyptic number.

It is an amenable number.

101345411776417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101345411776417 is an equidigital number, since it uses as much as digits as its factorization.

101345411776417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 101345411776417 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, seven hundred seventy-six thousand, four hundred seventeen".