102102212211257 has 2 divisors, whose sum is σ = 102102212211258. Its totient is φ = 102102212211256.

The previous prime is 102102212211101. The next prime is 102102212211283. The reversal of 102102212211257 is 752112212201201.

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., 94989408555001 + 7112803656256 = 9746251^2 + 2666984^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102212211257 - 2¹⁰ = 102102212210233 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102212211457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051106105628 + 51051106105629.

It is an arithmetic number, because the mean of its divisors is an integer number (51051106105629).

Almost surely, 2^{102102212211257} is an apocalyptic number.

It is an amenable number.

102102212211257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102212211257 is an equidigital number, since it uses as much as digits as its factorization.

102102212211257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 29.

Adding to 102102212211257 its reverse (752112212201201), we get a palindrome (854214424412458).

The spelling of 102102212211257 in words is "one hundred two trillion, one hundred two billion, two hundred twelve million, two hundred eleven thousand, two hundred fifty-seven".