110212121212011 has 192 divisors, whose sum is σ = 203296901773056. Its totient is φ = 55981601280000.

The previous prime is 110212121211991. The next prime is 110212121212031.

It is a happy number.

110212121212011 is a `hidden beast` number, since 110 + 21 + 212 + 121 + 201 + 1 = 666.

110212121212011 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (110212121211991) and next prime (110212121212031).

It is not a de Polignac number, because 110212121212011 - 2⁵ = 110212121211979 is a prime.

It is a super-2 number, since 2×110212121212011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110212121212031) 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 191 ways as a sum of consecutive naturals, for example, 11131408161 + ... + 11131418061.

It is an arithmetic number, because the mean of its divisors is an integer number (1058838030068).

Almost surely, 2^{110212121212011} is an apocalyptic number.

110212121212011 is a deficient number, since it is larger than the sum of its proper divisors (93084780561045).

110212121212011 is a wasteful number, since it uses less digits than its factorization.

110212121212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13702 (or 13699 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 110212121212011 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, eleven".