100110101011001 has 2 divisors, whose sum is σ = 100110101011002. Its totient is φ = 100110101011000.

The previous prime is 100110101010989. The next prime is 100110101011013.

100110101011001 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (100110101010989) and next prime (100110101011013).

It can be written as a sum of positive squares in only one way, i.e., 70487106835600 + 29622994175401 = 8395660^2 + 5442701^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 100110101011001 - 2³⁰ = 100109027269177 is a prime.

100110101011001 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 100110101011001.

It is not a weakly prime, because it can be changed into another prime (100110101016001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050505500 + 50055050505501.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050505501).

Almost surely, 2^{100110101011001} is an apocalyptic number.

It is an amenable number.

100110101011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101011001 is an equidigital number, since it uses as much as digits as its factorization.

100110101011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 10011010 and 1011001, that added together give a palindrome (11022011).

The spelling of 100110101011001 in words is "one hundred trillion, one hundred ten billion, one hundred one million, eleven thousand, one".