10345025131121 has 2 divisors, whose sum is σ = 10345025131122. Its totient is φ = 10345025131120.

The previous prime is 10345025131079. The next prime is 10345025131151. The reversal of 10345025131121 is 12113152054301.

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., 9498323344225 + 846701786896 = 3081935^2 + 920164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10345025131121 - 2⁴² = 5946978620017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10345025131151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5172512565560 + 5172512565561.

It is an arithmetic number, because the mean of its divisors is an integer number (5172512565561).

Almost surely, 2^{10345025131121} is an apocalyptic number.

It is an amenable number.

10345025131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10345025131121 is an equidigital number, since it uses as much as digits as its factorization.

10345025131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10345025131121 its reverse (12113152054301), we get a palindrome (22458177185422).

The spelling of 10345025131121 in words is "ten trillion, three hundred forty-five billion, twenty-five million, one hundred thirty-one thousand, one hundred twenty-one".