2100102001057 has 2 divisors, whose sum is σ = 2100102001058. Its totient is φ = 2100102001056.

The previous prime is 2100102001003. The next prime is 2100102001061. The reversal of 2100102001057 is 7501002010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1872187421841 + 227914579216 = 1368279^2 + 477404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100102001057 - 2⁷ = 2100102000929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100102001087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050051000528 + 1050051000529.

It is an arithmetic number, because the mean of its divisors is an integer number (1050051000529).

Almost surely, 2^{2100102001057} is an apocalyptic number.

It is an amenable number.

2100102001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100102001057 is an equidigital number, since it uses as much as digits as its factorization.

2100102001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 2100102001057 its reverse (7501002010012), we get a palindrome (9601104011069).

The spelling of 2100102001057 in words is "two trillion, one hundred billion, one hundred two million, one thousand, fifty-seven".