110010100101059 has 2 divisors, whose sum is σ = 110010100101060. Its totient is φ = 110010100101058.

The previous prime is 110010100101037. The next prime is 110010100101131. The reversal of 110010100101059 is 950101001010011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110010100101059 - 2¹⁶ = 110010100035523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010100101059.

It is not a weakly prime, because it can be changed into another prime (110010100101019) 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, 55005050050529 + 55005050050530.

It is an arithmetic number, because the mean of its divisors is an integer number (55005050050530).

Almost surely, 2^{110010100101059} is an apocalyptic number.

110010100101059 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010100101059 is an equidigital number, since it uses as much as digits as its factorization.

110010100101059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 20.

The spelling of 110010100101059 in words is "one hundred ten trillion, ten billion, one hundred million, one hundred one thousand, fifty-nine".