110000000001001 has 128 divisors (see below), whose sum is σ = 133645688985600. Its totient is φ = 89397665280000.

The previous prime is 110000000000911. The next prime is 110000000001007. The reversal of 110000000001001 is 100100000000011.

It is not a de Polignac number, because 110000000001001 - 2⁷ = 110000000000873 is a prime.

110000000001001 is a modest number, since divided by 1001 gives 110 as remainder.

It is not an unprimeable number, because it can be changed into a prime (110000000001007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50481871330 + ... + 50481873508.

It is an arithmetic number, because the mean of its divisors is an integer number (1044106945200).

Almost surely, 2^{110000000001001} is an apocalyptic number.

110000000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000000001001 is a deficient number, since it is larger than the sum of its proper divisors (23645688984599).

110000000001001 is a wasteful number, since it uses less digits than its factorization.

110000000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431.

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

Adding to 110000000001001 its reverse (100100000000011), we get a palindrome (210100000001012).

The spelling of 110000000001001 in words is "one hundred ten trillion, one thousand, one".