12100042892257 has 2 divisors, whose sum is σ = 12100042892258. Its totient is φ = 12100042892256.

The previous prime is 12100042892239. The next prime is 12100042892261. The reversal of 12100042892257 is 75229824000121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7551416064256 + 4548626828001 = 2747984^2 + 2132751^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100042892257 - 2³⁵ = 12065683153889 is a prime.

It is a super-2 number, since 2×12100042892257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12100042892297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050021446128 + 6050021446129.

It is an arithmetic number, because the mean of its divisors is an integer number (6050021446129).

Almost surely, 2^{12100042892257} is an apocalyptic number.

It is an amenable number.

12100042892257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100042892257 is an equidigital number, since it uses as much as digits as its factorization.

12100042892257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 43.

Adding to 12100042892257 its reverse (75229824000121), we get a palindrome (87329866892378).

The spelling of 12100042892257 in words is "twelve trillion, one hundred billion, forty-two million, eight hundred ninety-two thousand, two hundred fifty-seven".