101041009997 has 2 divisors, whose sum is σ = 101041009998. Its totient is φ = 101041009996.

The previous prime is 101041009921. The next prime is 101041010027. The reversal of 101041009997 is 799900140101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78257824516 + 22783185481 = 279746^2 + 150941^2 .

It is an emirp because it is prime and its reverse (799900140101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101041009997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101041009907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520504998 + 50520504999.

It is an arithmetic number, because the mean of its divisors is an integer number (50520504999).

Almost surely, 2^101041009997 is an apocalyptic number.

It is an amenable number.

101041009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101041009997 is an equidigital number, since it uses as much as digits as its factorization.

101041009997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 41.

The spelling of 101041009997 in words is "one hundred one billion, forty-one million, nine thousand, nine hundred ninety-seven".