110412141214011 has 128 divisors (see below), whose sum is σ = 187591924187136. Its totient is φ = 56207005747200.

The previous prime is 110412141213991. The next prime is 110412141214027.

110412141214011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110412141214011 - 2⁷ = 110412141213883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110412141214031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11151610161 + ... + 11151620061.

It is an arithmetic number, because the mean of its divisors is an integer number (1465561907712).

Almost surely, 2^{110412141214011} is an apocalyptic number.

110412141214011 is a deficient number, since it is larger than the sum of its proper divisors (77179782973125).

110412141214011 is a wasteful number, since it uses less digits than its factorization.

110412141214011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781.

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 110412141214011 in words is "one hundred ten trillion, four hundred twelve billion, one hundred forty-one million, two hundred fourteen thousand, eleven".