101001009997 has 2 divisors, whose sum is σ = 101001009998. Its totient is φ = 101001009996.

The previous prime is 101001009979. The next prime is 101001010013. The reversal of 101001009997 is 799900100101.

Together with previous prime (101001009979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95319770121 + 5681239876 = 308739^2 + 75374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001009997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001003997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500504998 + 50500504999.

It is an arithmetic number, because the mean of its divisors is an integer number (50500504999).

Almost surely, 2^101001009997 is an apocalyptic number.

It is an amenable number.

101001009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001009997 is an equidigital number, since it uses as much as digits as its factorization.

101001009997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 37.

The spelling of 101001009997 in words is "one hundred one billion, one million, nine thousand, nine hundred ninety-seven".