110110101211121 has 8 divisors (see below), whose sum is σ = 120310475095488. Its totient is φ = 99941454774000.

The previous prime is 110110101211109. The next prime is 110110101211139. The reversal of 110110101211121 is 121112101011011.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110101211121 is a prime.

It is a super-2 number, since 2×110110101211121² (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 = 110110101211096 and 110110101211105.

It is not an unprimeable number, because it can be changed into a prime (110110101211421) 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, 7931854550 + ... + 7931868431.

It is an arithmetic number, because the mean of its divisors is an integer number (15038809386936).

Almost surely, 2^{110110101211121} is an apocalyptic number.

110110101211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110101211121 is a deficient number, since it is larger than the sum of its proper divisors (10200373884367).

110110101211121 is a wasteful number, since it uses less digits than its factorization.

110110101211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15863723623.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110110101211121 its reverse (121112101011011), we get a palindrome (231222202222132).

The spelling of 110110101211121 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".