10137668542999 has 2 divisors, whose sum is σ = 10137668543000. Its totient is φ = 10137668542998.

The previous prime is 10137668542973. The next prime is 10137668543003. The reversal of 10137668542999 is 99924586673101.

It is a strong prime.

It is an emirp because it is prime and its reverse (99924586673101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10137668542999 - 2²⁷ = 10137534325271 is a prime.

It is a super-2 number, since 2×10137668542999² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137668542499) 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, 5068834271499 + 5068834271500.

It is an arithmetic number, because the mean of its divisors is an integer number (5068834271500).

It is a 1-persistent number, because it is pandigital, but 2⋅10137668542999 = 20275337085998 is not.

Almost surely, 2^{10137668542999} is an apocalyptic number.

10137668542999 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137668542999 is an equidigital number, since it uses as much as digits as its factorization.

10137668542999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176359680, while the sum is 70.

The spelling of 10137668542999 in words is "ten trillion, one hundred thirty-seven billion, six hundred sixty-eight million, five hundred forty-two thousand, nine hundred ninety-nine".