110120100120211 has 16 divisors (see below), whose sum is σ = 116034999808000. Its totient is φ = 104217131590848.

The previous prime is 110120100120139. The next prime is 110120100120223. The reversal of 110120100120211 is 112021001021011.

It is a happy number.

It is not a de Polignac number, because 110120100120211 - 2⁹ = 110120100119699 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110120100120191 and 110120100120200.

It is not an unprimeable number, because it can be changed into a prime (110120100120241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195157615 + ... + 195721063.

It is an arithmetic number, because the mean of its divisors is an integer number (7252187488000).

Almost surely, 2^{110120100120211} is an apocalyptic number.

110120100120211 is a deficient number, since it is larger than the sum of its proper divisors (5914899687789).

110120100120211 is a wasteful number, since it uses less digits than its factorization.

110120100120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574018.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110120100120211 its reverse (112021001021011), we get a palindrome (222141101141222).

The spelling of 110120100120211 in words is "one hundred ten trillion, one hundred twenty billion, one hundred million, one hundred twenty thousand, two hundred eleven".