100122102001057 has 2 divisors, whose sum is σ = 100122102001058. Its totient is φ = 100122102001056.

The previous prime is 100122102000983. The next prime is 100122102001223. The reversal of 100122102001057 is 750100201221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61570371329041 + 38551730672016 = 7846679^2 + 6209004^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122102001057 - 2⁴³ = 91326008978849 is a prime.

It is a super-2 number, since 2×100122102001057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100122102301057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061051000528 + 50061051000529.

It is an arithmetic number, because the mean of its divisors is an integer number (50061051000529).

Almost surely, 2^{100122102001057} is an apocalyptic number.

It is an amenable number.

100122102001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122102001057 is an equidigital number, since it uses as much as digits as its factorization.

100122102001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 100122102001057 its reverse (750100201221001), we get a palindrome (850222303222058).

The spelling of 100122102001057 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one thousand, fifty-seven".