10100310322121 has 2 divisors, whose sum is σ = 10100310322122. Its totient is φ = 10100310322120.

The previous prime is 10100310322073. The next prime is 10100310322169. The reversal of 10100310322121 is 12122301300101.

It is a balanced prime because it is at equal distance from previous prime (10100310322073) and next prime (10100310322169).

It can be written as a sum of positive squares in only one way, i.e., 6296109732025 + 3804200590096 = 2509205^2 + 1950436^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100310322121 - 2³⁸ = 9825432415177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100310322121.

It is not a weakly prime, because it can be changed into another prime (10100310382121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050155161060 + 5050155161061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050155161061).

Almost surely, 2^{10100310322121} is an apocalyptic number.

It is an amenable number.

10100310322121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100310322121 is an equidigital number, since it uses as much as digits as its factorization.

10100310322121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10100310322121 its reverse (12122301300101), we get a palindrome (22222611622222).

The spelling of 10100310322121 in words is "ten trillion, one hundred billion, three hundred ten million, three hundred twenty-two thousand, one hundred twenty-one".