110010010101001 has 8 divisors (see below), whose sum is σ = 111815189010504. Its totient is φ = 108204887195520.

The previous prime is 110010010100999. The next prime is 110010010101037. The reversal of 110010010101001 is 100101010010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1421939387401 + 108588070713600 = 1192451^2 + 10420560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110010010101001 - 2¹ = 110010010100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010010101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10030966 + ... + 17906431.

It is an arithmetic number, because the mean of its divisors is an integer number (13976898626313).

Almost surely, 2^{110010010101001} is an apocalyptic number.

It is an amenable number.

110010010101001 is a deficient number, since it is larger than the sum of its proper divisors (1805178909503).

110010010101001 is an equidigital number, since it uses as much as digits as its factorization.

110010010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28002011.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110010010101001 its reverse (100101010010011), we get a palindrome (210111020111012).

It can be divided in two parts, 110010010 and 101001, that added together give a palindrome (110111011).

The spelling of 110010010101001 in words is "one hundred ten trillion, ten billion, ten million, one hundred one thousand, one".