101110210948057 has 2 divisors, whose sum is σ = 101110210948058. Its totient is φ = 101110210948056.

The previous prime is 101110210948049. The next prime is 101110210948133. The reversal of 101110210948057 is 750849012011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99466633103616 + 1643577844441 = 9973296^2 + 1282021^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110210948057 - 2³ = 101110210948049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110210948657) 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, 50555105474028 + 50555105474029.

It is an arithmetic number, because the mean of its divisors is an integer number (50555105474029).

Almost surely, 2^{101110210948057} is an apocalyptic number.

It is an amenable number.

101110210948057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110210948057 is an equidigital number, since it uses as much as digits as its factorization.

101110210948057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 40.

Adding to 101110210948057 its reverse (750849012011101), we get a palindrome (851959222959158).

The spelling of 101110210948057 in words is "one hundred one trillion, one hundred ten billion, two hundred ten million, nine hundred forty-eight thousand, fifty-seven".