102111100097 has 2 divisors, whose sum is σ = 102111100098. Its totient is φ = 102111100096.

The previous prime is 102111100087. The next prime is 102111100099. The reversal of 102111100097 is 790001111201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78260622001 + 23850478096 = 279751^2 + 154436^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111100097 - 2⁶ = 102111100033 is a prime.

Together with 102111100099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102111100099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055550048 + 51055550049.

It is an arithmetic number, because the mean of its divisors is an integer number (51055550049).

Almost surely, 2^102111100097 is an apocalyptic number.

It is an amenable number.

102111100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111100097 is an equidigital number, since it uses as much as digits as its factorization.

102111100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 102111100097 its reverse (790001111201), we get a palindrome (892112211298).

The spelling of 102111100097 in words is "one hundred two billion, one hundred eleven million, one hundred thousand, ninety-seven".