102102012022057 has 2 divisors, whose sum is σ = 102102012022058. Its totient is φ = 102102012022056.

The previous prime is 102102012022033. The next prime is 102102012022061. The reversal of 102102012022057 is 750220210201201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78433358900121 + 23668653121936 = 8856261^2 + 4865044^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102012022057 - 2⁷ = 102102012021929 is a prime.

It is a super-2 number, since 2×102102012022057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102102012029057) 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, 51051006011028 + 51051006011029.

It is an arithmetic number, because the mean of its divisors is an integer number (51051006011029).

Almost surely, 2^{102102012022057} is an apocalyptic number.

It is an amenable number.

102102012022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102012022057 is an equidigital number, since it uses as much as digits as its factorization.

102102012022057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 102102012022057 its reverse (750220210201201), we get a palindrome (852322222223258).

The spelling of 102102012022057 in words is "one hundred two trillion, one hundred two billion, twelve million, twenty-two thousand, fifty-seven".