102200212000057 has 2 divisors, whose sum is σ = 102200212000058. Its totient is φ = 102200212000056.

The previous prime is 102200212000039. The next prime is 102200212000111. The reversal of 102200212000057 is 750000212002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95977701706041 + 6222510294016 = 9796821^2 + 2494496^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200212000057 - 2²⁷ = 102200077782329 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200212000357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100106000028 + 51100106000029.

It is an arithmetic number, because the mean of its divisors is an integer number (51100106000029).

Almost surely, 2^{102200212000057} is an apocalyptic number.

It is an amenable number.

102200212000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200212000057 is an equidigital number, since it uses as much as digits as its factorization.

102200212000057 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 22.

Adding to 102200212000057 its reverse (750000212002201), we get a palindrome (852200424002258).

The spelling of 102200212000057 in words is "one hundred two trillion, two hundred billion, two hundred twelve million, fifty-seven", and thus it is an aban number.