102021115905697 has 2 divisors, whose sum is σ = 102021115905698. Its totient is φ = 102021115905696.

The previous prime is 102021115905587. The next prime is 102021115905701. The reversal of 102021115905697 is 796509511120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96351578701456 + 5669537204241 = 9815884^2 + 2381079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102021115905697 is a prime.

It is a super-2 number, since 2×102021115905697² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102021115905697.

It is not a weakly prime, because it can be changed into another prime (102021115965697) 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, 51010557952848 + 51010557952849.

It is an arithmetic number, because the mean of its divisors is an integer number (51010557952849).

Almost surely, 2^{102021115905697} is an apocalyptic number.

It is an amenable number.

102021115905697 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021115905697 is an equidigital number, since it uses as much as digits as its factorization.

102021115905697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 49.

The spelling of 102021115905697 in words is "one hundred two trillion, twenty-one billion, one hundred fifteen million, nine hundred five thousand, six hundred ninety-seven".