101105298961 has 2 divisors, whose sum is σ = 101105298962. Its totient is φ = 101105298960.

The previous prime is 101105298923. The next prime is 101105298977. The reversal of 101105298961 is 169892501101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92261025025 + 8844273936 = 303745^2 + 94044^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105298961 - 2¹¹ = 101105296913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101105298901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552649480 + 50552649481.

It is an arithmetic number, because the mean of its divisors is an integer number (50552649481).

Almost surely, 2^101105298961 is an apocalyptic number.

It is an amenable number.

101105298961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105298961 is an equidigital number, since it uses as much as digits as its factorization.

101105298961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 43.

The spelling of 101105298961 in words is "one hundred one billion, one hundred five million, two hundred ninety-eight thousand, nine hundred sixty-one".