110110101111211 has 8 divisors (see below), whose sum is σ = 110922611595264. Its totient is φ = 109300436549160.

The previous prime is 110110101111187. The next prime is 110110101111217. The reversal of 110110101111211 is 112111101011011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110110101111211 - 2⁷ = 110110101111083 is a prime.

It is a super-2 number, since 2×110110101111211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110101111191 and 110110101111200.

It is not an unprimeable number, because it can be changed into a prime (110110101111217) 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 7 ways as a sum of consecutive naturals, for example, 711402835 + ... + 711557596.

It is an arithmetic number, because the mean of its divisors is an integer number (13865326449408).

Almost surely, 2^{110110101111211} is an apocalyptic number.

110110101111211 is a deficient number, since it is larger than the sum of its proper divisors (812510484053).

110110101111211 is a wasteful number, since it uses less digits than its factorization.

110110101111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422961001.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 110110101111211 its reverse (112111101011011), we get a palindrome (222221202122222).

The spelling of 110110101111211 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, two hundred eleven".