101193921242957 has 2 divisors, whose sum is σ = 101193921242958. Its totient is φ = 101193921242956.

The previous prime is 101193921242933. The next prime is 101193921242969. The reversal of 101193921242957 is 759242129391101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82038777240676 + 19155144002281 = 9057526^2 + 4376659^2 .

It is a cyclic number.

It is not a de Polignac number, because 101193921242957 - 2⁶ = 101193921242893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101193921242917) 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, 50596960621478 + 50596960621479.

It is an arithmetic number, because the mean of its divisors is an integer number (50596960621479).

Almost surely, 2^{101193921242957} is an apocalyptic number.

It is an amenable number.

101193921242957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101193921242957 is an equidigital number, since it uses as much as digits as its factorization.

101193921242957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2449440, while the sum is 56.

The spelling of 101193921242957 in words is "one hundred one trillion, one hundred ninety-three billion, nine hundred twenty-one million, two hundred forty-two thousand, nine hundred fifty-seven".