101345411760067 has 2 divisors, whose sum is σ = 101345411760068. Its totient is φ = 101345411760066.

The previous prime is 101345411760037. The next prime is 101345411760079. The reversal of 101345411760067 is 760067114543101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101345411760067 - 2⁴³ = 92549318737859 is a prime.

It is a super-3 number, since 3×101345411760067³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101345411759999 and 101345411760026.

It is not a weakly prime, because it can be changed into another prime (101345411760037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50672705880033 + 50672705880034.

It is an arithmetic number, because the mean of its divisors is an integer number (50672705880034).

Almost surely, 2^{101345411760067} is an apocalyptic number.

101345411760067 is a deficient number, since it is larger than the sum of its proper divisors (1).

101345411760067 is an equidigital number, since it uses as much as digits as its factorization.

101345411760067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 101345411760067 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, seven hundred sixty thousand, sixty-seven".