10153714105121 has 2 divisors, whose sum is σ = 10153714105122. Its totient is φ = 10153714105120.

The previous prime is 10153714105043. The next prime is 10153714105133. The reversal of 10153714105121 is 12150141735101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9893446798225 + 260267306896 = 3145385^2 + 510164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10153714105121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10153711105121) 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, 5076857052560 + 5076857052561.

It is an arithmetic number, because the mean of its divisors is an integer number (5076857052561).

Almost surely, 2^{10153714105121} is an apocalyptic number.

It is an amenable number.

10153714105121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153714105121 is an equidigital number, since it uses as much as digits as its factorization.

10153714105121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 32.

The spelling of 10153714105121 in words is "ten trillion, one hundred fifty-three billion, seven hundred fourteen million, one hundred five thousand, one hundred twenty-one".