101100100110959 has 2 divisors, whose sum is σ = 101100100110960. Its totient is φ = 101100100110958.

The previous prime is 101100100110917. The next prime is 101100100111019. The reversal of 101100100110959 is 959011001001101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100100110959 - 2⁸ = 101100100110703 is a prime.

It is a super-2 number, since 2×101100100110959² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100100110059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050055479 + 50550050055480.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050055480).

Almost surely, 2^{101100100110959} is an apocalyptic number.

101100100110959 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100110959 is an equidigital number, since it uses as much as digits as its factorization.

101100100110959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 29.

The spelling of 101100100110959 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred ten thousand, nine hundred fifty-nine".