101100997 has 2 divisors, whose sum is σ = 101100998. Its totient is φ = 101100996.

The previous prime is 101100977. The next prime is 101101009. The reversal of 101100997 is 799001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76983076 + 24117921 = 8774^2 + 4911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550498 + 50550499.

It is an arithmetic number, because the mean of its divisors is an integer number (50550499).

Almost surely, 2^101100997 is an apocalyptic number.

It is an amenable number.

101100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100997 is an equidigital number, since it uses as much as digits as its factorization.

101100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The square root of 101100997 is about 10054.8991541437. The cubic root of 101100997 is about 465.8561281070.

The spelling of 101100997 in words is "one hundred one million, one hundred thousand, nine hundred ninety-seven".