101005681099 has 2 divisors, whose sum is σ = 101005681100. Its totient is φ = 101005681098.

The previous prime is 101005681037. The next prime is 101005681121. The reversal of 101005681099 is 990186500101.

It is a strong prime.

It is an emirp because it is prime and its reverse (990186500101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101005681099 - 2¹⁷ = 101005550027 is a prime.

It is a super-2 number, since 2×101005681099² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101005681009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502840549 + 50502840550.

It is an arithmetic number, because the mean of its divisors is an integer number (50502840550).

Almost surely, 2^101005681099 is an apocalyptic number.

101005681099 is a deficient number, since it is larger than the sum of its proper divisors (1).

101005681099 is an equidigital number, since it uses as much as digits as its factorization.

101005681099 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 101005681099 in words is "one hundred one billion, five million, six hundred eighty-one thousand, ninety-nine".