101007997 has 2 divisors, whose sum is σ = 101007998. Its totient is φ = 101007996.

The previous prime is 101007961. The next prime is 101008001. The reversal of 101007997 is 799700101.

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., 62394201 + 38613796 = 7899^2 + 6214^2 .

It is a cyclic number.

It is not a de Polignac number, because 101007997 - 2⁷ = 101007869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101007947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503998 + 50503999.

It is an arithmetic number, because the mean of its divisors is an integer number (50503999).

Almost surely, 2^101007997 is an apocalyptic number.

It is an amenable number.

101007997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101007997 is an equidigital number, since it uses as much as digits as its factorization.

101007997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969, while the sum is 34.

The square root of 101007997 is about 10050.2734788661. The cubic root of 101007997 is about 465.7132415798.

The spelling of 101007997 in words is "one hundred one million, seven thousand, nine hundred ninety-seven".