10100100999997 has 2 divisors, whose sum is σ = 10100100999998. Its totient is φ = 10100100999996.

The previous prime is 10100100999959. The next prime is 10100101000019. The reversal of 10100100999997 is 79999900100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9426091197636 + 674009802361 = 3070194^2 + 820981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100100999997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100101999997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050499998 + 5050050499999.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050499999).

Almost surely, 2^{10100100999997} is an apocalyptic number.

It is an amenable number.

10100100999997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100999997 is an equidigital number, since it uses as much as digits as its factorization.

10100100999997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 413343, while the sum is 55.

The spelling of 10100100999997 in words is "ten trillion, one hundred billion, one hundred million, nine hundred ninety-nine thousand, nine hundred ninety-seven".