101444188057 has 2 divisors, whose sum is σ = 101444188058. Its totient is φ = 101444188056.

The previous prime is 101444187983. The next prime is 101444188091. The reversal of 101444188057 is 750881444101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84911628816 + 16532559241 = 291396^2 + 128579^2 .

It is a cyclic number.

It is not a de Polignac number, because 101444188057 - 2¹⁵ = 101444155289 is a prime.

It is not a weakly prime, because it can be changed into another prime (101444188457) 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, 50722094028 + 50722094029.

It is an arithmetic number, because the mean of its divisors is an integer number (50722094029).

Almost surely, 2^101444188057 is an apocalyptic number.

It is an amenable number.

101444188057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101444188057 is an equidigital number, since it uses as much as digits as its factorization.

101444188057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 101444188057 in words is "one hundred one billion, four hundred forty-four million, one hundred eighty-eight thousand, fifty-seven".