102102012002057 has 2 divisors, whose sum is σ = 102102012002058. Its totient is φ = 102102012002056.

The previous prime is 102102012001987. The next prime is 102102012002093. The reversal of 102102012002057 is 750200210201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55168291031296 + 46933720970761 = 7427536^2 + 6850819^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102012002057 - 2³⁴ = 102084832132873 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102012002857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051006001028 + 51051006001029.

It is an arithmetic number, because the mean of its divisors is an integer number (51051006001029).

Almost surely, 2^{102102012002057} is an apocalyptic number.

It is an amenable number.

102102012002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102012002057 is an equidigital number, since it uses as much as digits as its factorization.

102102012002057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 102102012002057 its reverse (750200210201201), we get a palindrome (852302222203258).

The spelling of 102102012002057 in words is "one hundred two trillion, one hundred two billion, twelve million, two thousand, fifty-seven".