101404198057 has 2 divisors, whose sum is σ = 101404198058. Its totient is φ = 101404198056.

The previous prime is 101404198033. The next prime is 101404198079. The reversal of 101404198057 is 750891404101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62792341056 + 38611857001 = 250584^2 + 196499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101404198057 - 2³⁵ = 67044459689 is a prime.

It is a super-2 number, since 2×101404198057² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101404138057) 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, 50702099028 + 50702099029.

It is an arithmetic number, because the mean of its divisors is an integer number (50702099029).

Almost surely, 2^101404198057 is an apocalyptic number.

It is an amenable number.

101404198057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404198057 is an equidigital number, since it uses as much as digits as its factorization.

101404198057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 101404198057 in words is "one hundred one billion, four hundred four million, one hundred ninety-eight thousand, fifty-seven".