110000001011001 has 16 divisors (see below), whose sum is σ = 148220894340288. Its totient is φ = 72557221640000.

The previous prime is 110000001010987. The next prime is 110000001011003. The reversal of 110000001011001 is 100110100000011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000001011001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110000001011003) 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, 124659006 + ... + 125538311.

It is an arithmetic number, because the mean of its divisors is an integer number (9263805896268).

Almost surely, 2^{110000001011001} is an apocalyptic number.

It is an amenable number.

110000001011001 is a deficient number, since it is larger than the sum of its proper divisors (38220893329287).

110000001011001 is a wasteful number, since it uses less digits than its factorization.

110000001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250198872.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110000001011001 its reverse (100110100000011), we get a palindrome (210110101011012).

The spelling of 110000001011001 in words is "one hundred ten trillion, one million, eleven thousand, one".