101046739166441 has 2 divisors, whose sum is σ = 101046739166442. Its totient is φ = 101046739166440.

The previous prime is 101046739166311. The next prime is 101046739166449. The reversal of 101046739166441 is 144661937640101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100202021929216 + 844717237225 = 10010096^2 + 919085^2 .

It is a cyclic number.

It is not a de Polignac number, because 101046739166441 - 2¹⁸ = 101046738904297 is a prime.

It is not a weakly prime, because it can be changed into another prime (101046739166449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50523369583220 + 50523369583221.

It is an arithmetic number, because the mean of its divisors is an integer number (50523369583221).

Almost surely, 2^{101046739166441} is an apocalyptic number.

It is an amenable number.

101046739166441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101046739166441 is an equidigital number, since it uses as much as digits as its factorization.

101046739166441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 101046739166441 in words is "one hundred one trillion, forty-six billion, seven hundred thirty-nine million, one hundred sixty-six thousand, four hundred forty-one".