110130222031011 has 384 divisors, whose sum is σ = 204281279354880. Its totient is φ = 55645006233600.

The previous prime is 110130222030953. The next prime is 110130222031013.

110130222031011 is a `hidden beast` number, since 1 + 1 + 0 + 130 + 2 + 220 + 310 + 1 + 1 = 666.

110130222031011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110130222031011 - 2¹¹ = 110130222028963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110130222031013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135795587796 + ... + 135795588606.

It is an arithmetic number, because the mean of its divisors is an integer number (531982498320).

Almost surely, 2^{110130222031011} is an apocalyptic number.

110130222031011 is a deficient number, since it is larger than the sum of its proper divisors (94151057323869).

110130222031011 is a wasteful number, since it uses less digits than its factorization.

110130222031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 110130222031011 in words is "one hundred ten trillion, one hundred thirty billion, two hundred twenty-two million, thirty-one thousand, eleven".