110010110201001 has 64 divisors (see below), whose sum is σ = 166772283059200. Its totient is φ = 71652364812288.

The previous prime is 110010110200987. The next prime is 110010110201011. The reversal of 110010110201001 is 100102011010011.

It is not a de Polignac number, because 110010110201001 - 2¹¹ = 110010110198953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010110201011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231636995 + ... + 1231726311.

It is an arithmetic number, because the mean of its divisors is an integer number (2605816922800).

Almost surely, 2^{110010110201001} is an apocalyptic number.

It is an amenable number.

110010110201001 is a deficient number, since it is larger than the sum of its proper divisors (56762172858199).

110010110201001 is an equidigital number, since it uses as much as digits as its factorization.

110010110201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95455 (or 95449 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010110201001 its reverse (100102011010011), we get a palindrome (210112121211012).

The spelling of 110010110201001 in words is "one hundred ten trillion, ten billion, one hundred ten million, two hundred one thousand, one".