110002121200011 has 32 divisors (see below), whose sum is σ = 155809369737216. Its totient is φ = 68910391872000.

The previous prime is 110002121200001. The next prime is 110002121200033.

110002121200011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110002121200011 - 2¹⁰ = 110002121198987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110002121200011.

It is not an unprimeable number, because it can be changed into a prime (110002121200001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30864510 + ... + 34243571.

It is an arithmetic number, because the mean of its divisors is an integer number (4869042804288).

Almost surely, 2^{110002121200011} is an apocalyptic number.

110002121200011 is a deficient number, since it is larger than the sum of its proper divisors (45807248537205).

110002121200011 is a wasteful number, since it uses less digits than its factorization.

110002121200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65108643.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 110002121200011 in words is "one hundred ten trillion, two billion, one hundred twenty-one million, two hundred thousand, eleven".