110000121000011 has 24 divisors (see below), whose sum is σ = 122118811996944. Its totient is φ = 98999901000000.

The previous prime is 110000120999959. The next prime is 110000121000013.

It is a happy number.

110000121000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110000121000011 - 2²² = 110000116805707 is a prime.

It is a super-2 number, since 2×110000121000011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110000121000013) 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 23 ways as a sum of consecutive naturals, for example, 120545576 + ... + 121454666.

It is an arithmetic number, because the mean of its divisors is an integer number (5088283833206).

Almost surely, 2^{110000121000011} is an apocalyptic number.

110000121000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110000121000011 is a deficient number, since it is larger than the sum of its proper divisors (12118690996933).

110000121000011 is a wasteful number, since it uses less digits than its factorization.

110000121000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919115 (or 919104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 110000121000011 in words is "one hundred ten trillion, one hundred twenty-one million, eleven", and thus it is an aban number.