110120141021011 has 48 divisors (see below), whose sum is σ = 126542197555200. Its totient is φ = 95642293032000.

The previous prime is 110120141020961. The next prime is 110120141021053.

It is a happy number.

110120141021011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110120141021011 - 2¹¹ = 110120141018963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110120141021071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3413397621 + ... + 3413429881.

It is an arithmetic number, because the mean of its divisors is an integer number (2636295782400).

Almost surely, 2^{110120141021011} is an apocalyptic number.

110120141021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110120141021011 is a deficient number, since it is larger than the sum of its proper divisors (16422056534189).

110120141021011 is a wasteful number, since it uses less digits than its factorization.

110120141021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43912 (or 43901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 110120141021011 in words is "one hundred ten trillion, one hundred twenty billion, one hundred forty-one million, twenty-one thousand, eleven".