110221121122011 has 12 divisors (see below), whose sum is σ = 161818257968640. Its totient is φ = 72276144997680.

The previous prime is 110221121121977. The next prime is 110221121122027.

It is a happy number.

110221121122011 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 1 + 211 + 220 + 11 = 666.

110221121122011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110221121122011 - 2³⁴ = 110203941252827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110221121122061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100383534171 + ... + 100383535268.

It is an arithmetic number, because the mean of its divisors is an integer number (13484854830720).

Almost surely, 2^{110221121122011} is an apocalyptic number.

110221121122011 is a deficient number, since it is larger than the sum of its proper divisors (51597136846629).

110221121122011 is a wasteful number, since it uses less digits than its factorization.

110221121122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200767069506 (or 200767069503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 110221121122011 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".