110000011121001 has 16 divisors (see below), whose sum is σ = 162963644212800. Its totient is φ = 73333041598944.

The previous prime is 110000011120963. The next prime is 110000011121029. The reversal of 110000011121001 is 100121110000011.

It is not a de Polignac number, because 110000011121001 - 2¹¹ = 110000011118953 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110000011128001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465836 + ... + 14904653.

It is an arithmetic number, because the mean of its divisors is an integer number (10185227763300).

Almost surely, 2^{110000011121001} is an apocalyptic number.

It is an amenable number.

110000011121001 is a deficient number, since it is larger than the sum of its proper divisors (52963633091799).

110000011121001 is a wasteful number, since it uses less digits than its factorization.

110000011121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16619365 (or 16619359 counting only the distinct ones).

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

Adding to 110000011121001 its reverse (100121110000011), we get a palindrome (210121121121012).

The spelling of 110000011121001 in words is "one hundred ten trillion, eleven million, one hundred twenty-one thousand, one".