12202101002057 has 2 divisors, whose sum is σ = 12202101002058. Its totient is φ = 12202101002056.

The previous prime is 12202101001973. The next prime is 12202101002089. The reversal of 12202101002057 is 75020010120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8972564939776 + 3229536062281 = 2995424^2 + 1797091^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202101002057 - 2⁸ = 12202101001801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12202101002957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101050501028 + 6101050501029.

It is an arithmetic number, because the mean of its divisors is an integer number (6101050501029).

Almost surely, 2^{12202101002057} is an apocalyptic number.

It is an amenable number.

12202101002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202101002057 is an equidigital number, since it uses as much as digits as its factorization.

12202101002057 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12202101002057 its reverse (75020010120221), we get a palindrome (87222111122278).

The spelling of 12202101002057 in words is "twelve trillion, two hundred two billion, one hundred one million, two thousand, fifty-seven".