101121201100961 has 2 divisors, whose sum is σ = 101121201100962. Its totient is φ = 101121201100960.

The previous prime is 101121201100873. The next prime is 101121201101027. The reversal of 101121201100961 is 169001102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81478045257361 + 19643155843600 = 9026519^2 + 4432060^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201100961 - 2⁴⁶ = 30752456923297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121201100961.

It is not a weakly prime, because it can be changed into another prime (101121201100561) 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, 50560600550480 + 50560600550481.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600550481).

Almost surely, 2^{101121201100961} is an apocalyptic number.

It is an amenable number.

101121201100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201100961 is an equidigital number, since it uses as much as digits as its factorization.

101121201100961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 26.

The spelling of 101121201100961 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred thousand, nine hundred sixty-one".