1000101112097 has 2 divisors, whose sum is σ = 1000101112098. Its totient is φ = 1000101112096.

The previous prime is 1000101112093. The next prime is 1000101112099. The reversal of 1000101112097 is 7902111010001.

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., 533624406016 + 466476706081 = 730496^2 + 682991^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101112097 - 2² = 1000101112093 is a prime.

Together with 1000101112099, 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 (1000101112093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050556048 + 500050556049.

It is an arithmetic number, because the mean of its divisors is an integer number (500050556049).

Almost surely, 2^{1000101112097} is an apocalyptic number.

It is an amenable number.

1000101112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101112097 is an equidigital number, since it uses as much as digits as its factorization.

1000101112097 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 23.

Adding to 1000101112097 its reverse (7902111010001), we get a palindrome (8902212122098).

The spelling of 1000101112097 in words is "one trillion, one hundred one million, one hundred twelve thousand, ninety-seven".