102193744165553 has 2 divisors, whose sum is σ = 102193744165554. Its totient is φ = 102193744165552.

The previous prime is 102193744165543. The next prime is 102193744165561. The reversal of 102193744165553 is 355561447391201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80829593718784 + 21364150446769 = 8990528^2 + 4622137^2 .

It is a cyclic number.

It is not a de Polignac number, because 102193744165553 - 2⁴ = 102193744165537 is a prime.

It is a super-2 number, since 2×102193744165553² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102193744165543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51096872082776 + 51096872082777.

It is an arithmetic number, because the mean of its divisors is an integer number (51096872082777).

Almost surely, 2^{102193744165553} is an apocalyptic number.

It is an amenable number.

102193744165553 is a deficient number, since it is larger than the sum of its proper divisors (1).

102193744165553 is an equidigital number, since it uses as much as digits as its factorization.

102193744165553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608000, while the sum is 56.

The spelling of 102193744165553 in words is "one hundred two trillion, one hundred ninety-three billion, seven hundred forty-four million, one hundred sixty-five thousand, five hundred fifty-three".