10240100221121 has 2 divisors, whose sum is σ = 10240100221122. Its totient is φ = 10240100221120.

The previous prime is 10240100221079. The next prime is 10240100221151. The reversal of 10240100221121 is 12112200104201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10148557062400 + 91543158721 = 3185680^2 + 302561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10240100221121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10240100221121.

It is not a weakly prime, because it can be changed into another prime (10240100221151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5120050110560 + 5120050110561.

It is an arithmetic number, because the mean of its divisors is an integer number (5120050110561).

Almost surely, 2^{10240100221121} is an apocalyptic number.

It is an amenable number.

10240100221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240100221121 is an equidigital number, since it uses as much as digits as its factorization.

10240100221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10240100221121 its reverse (12112200104201), we get a palindrome (22352300325322).

The spelling of 10240100221121 in words is "ten trillion, two hundred forty billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".