101010100011001 has 2 divisors, whose sum is σ = 101010100011002. Its totient is φ = 101010100011000.

The previous prime is 101010100010969. The next prime is 101010100011031. The reversal of 101010100011001 is 100110001010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100103226625600 + 906873385401 = 10005160^2 + 952299^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100011001 - 2⁵ = 101010100010969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010100011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050005500 + 50505050005501.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050005501).

Almost surely, 2^{101010100011001} is an apocalyptic number.

It is an amenable number.

101010100011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100011001 is an equidigital number, since it uses as much as digits as its factorization.

101010100011001 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 7.

Adding to 101010100011001 its reverse (100110001010101), we get a palindrome (201120101021102).

The spelling of 101010100011001 in words is "one hundred one trillion, ten billion, one hundred million, eleven thousand, one".