102111001000097 has 2 divisors, whose sum is σ = 102111001000098. Its totient is φ = 102111001000096.

The previous prime is 102111001000091. The next prime is 102111001000111. The reversal of 102111001000097 is 790000100111201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99029884293376 + 3081116706721 = 9951376^2 + 1755311^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111001000097 - 2¹⁶ = 102111000934561 is a prime.

It is not a weakly prime, because it can be changed into another prime (102111001000091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055500500048 + 51055500500049.

It is an arithmetic number, because the mean of its divisors is an integer number (51055500500049).

Almost surely, 2^{102111001000097} is an apocalyptic number.

It is an amenable number.

102111001000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111001000097 is an equidigital number, since it uses as much as digits as its factorization.

102111001000097 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 102111001000097 its reverse (790000100111201), we get a palindrome (892111101111298).

The spelling of 102111001000097 in words is "one hundred two trillion, one hundred eleven billion, one million, ninety-seven", and thus it is an aban number.