110000001001 has 16 divisors (see below), whose sum is σ = 122462072640. Its totient is φ = 97954384320.

The previous prime is 110000000987. The next prime is 110000001029. The reversal of 110000001001 is 100100000011.

It is a cyclic number.

It is not a de Polignac number, because 110000001001 - 2⁵ = 110000000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000001091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208471 + ... + 513283.

It is an arithmetic number, because the mean of its divisors is an integer number (7653879540).

Almost surely, 2^110000001001 is an apocalyptic number.

110000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000001001 is a deficient number, since it is larger than the sum of its proper divisors (12462071639).

110000001001 is a wasteful number, since it uses less digits than its factorization.

110000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305496.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 110000001001 its reverse (100100000011), we get a palindrome (210100001012).

The spelling of 110000001001 in words is "one hundred ten billion, one thousand, one".