110111022001001 has 16 divisors (see below), whose sum is σ = 126494438304384. Its totient is φ = 93890932890624.

The previous prime is 110111022000919. The next prime is 110111022001021. The reversal of 110111022001001 is 100100220111011.

It is not a de Polignac number, because 110111022001001 - 2³⁴ = 110093842131817 is a prime.

It is a super-2 number, since 2×110111022001001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110111022001021) 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, 161188775 + ... + 161870451.

It is an arithmetic number, because the mean of its divisors is an integer number (7905902394024).

Almost surely, 2^{110111022001001} is an apocalyptic number.

It is an amenable number.

110111022001001 is a deficient number, since it is larger than the sum of its proper divisors (16383416303383).

110111022001001 is a wasteful number, since it uses less digits than its factorization.

110111022001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801440.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110111022001001 its reverse (100100220111011), we get a palindrome (210211242112012).

The spelling of 110111022001001 in words is "one hundred ten trillion, one hundred eleven billion, twenty-two million, one thousand, one".