10111111102097 has 2 divisors, whose sum is σ = 10111111102098. Its totient is φ = 10111111102096.

The previous prime is 10111111102069. The next prime is 10111111102231. The reversal of 10111111102097 is 79020111111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6569973734416 + 3541137367681 = 2563196^2 + 1881791^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111111102097 - 2¹⁶ = 10111111036561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111111105097) 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, 5055555551048 + 5055555551049.

It is an arithmetic number, because the mean of its divisors is an integer number (5055555551049).

Almost surely, 2^{10111111102097} is an apocalyptic number.

It is an amenable number.

10111111102097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111111102097 is an equidigital number, since it uses as much as digits as its factorization.

10111111102097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 26.

Adding to 10111111102097 its reverse (79020111111101), we get a palindrome (89131222213198).

The spelling of 10111111102097 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred two thousand, ninety-seven".