10100100009997 has 2 divisors, whose sum is σ = 10100100009998. Its totient is φ = 10100100009996.

The previous prime is 10100100009973. The next prime is 10100100010009. The reversal of 10100100009997 is 79990000100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6395972508676 + 3704127501321 = 2529026^2 + 1924611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100009997 - 2²⁷ = 10099965792269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100009917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050004998 + 5050050004999.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050004999).

Almost surely, 2^{10100100009997} is an apocalyptic number.

It is an amenable number.

10100100009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100009997 is an equidigital number, since it uses as much as digits as its factorization.

10100100009997 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10100100009997 in words is "ten trillion, one hundred billion, one hundred million, nine thousand, nine hundred ninety-seven".