110120021011 has 64 divisors (see below), whose sum is σ = 152033882112. Its totient is φ = 76982400000.

The previous prime is 110120020999. The next prime is 110120021027.

110120021011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110120021011 - 2⁵ = 110120020979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110120021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11117161 + ... + 11127061.

It is an arithmetic number, because the mean of its divisors is an integer number (2375529408).

Almost surely, 2^110120021011 is an apocalyptic number.

110120021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110120021011 is a deficient number, since it is larger than the sum of its proper divisors (41913861101).

110120021011 is a wasteful number, since it uses less digits than its factorization.

110120021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1101200 and 21011, that added together give a palindrome (1122211).

The spelling of 110120021011 in words is "one hundred ten billion, one hundred twenty million, twenty-one thousand, eleven".