10122200009153 has 2 divisors, whose sum is σ = 10122200009154. Its totient is φ = 10122200009152.

The previous prime is 10122200009143. The next prime is 10122200009203. The reversal of 10122200009153 is 35190000222101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8500303518784 + 1621896490369 = 2915528^2 + 1273537^2 .

It is an emirp because it is prime and its reverse (35190000222101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122200009153 - 2⁸ = 10122200008897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122200009143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061100004576 + 5061100004577.

It is an arithmetic number, because the mean of its divisors is an integer number (5061100004577).

Almost surely, 2^{10122200009153} is an apocalyptic number.

It is an amenable number.

10122200009153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122200009153 is an equidigital number, since it uses as much as digits as its factorization.

10122200009153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10122200009153 in words is "ten trillion, one hundred twenty-two billion, two hundred million, nine thousand, one hundred fifty-three".