110001011000121 has 40 divisors (see below), whose sum is σ = 170185768346880. Its totient is φ = 70723201677408.

The previous prime is 110001010999981. The next prime is 110001011000129. The reversal of 110001011000121 is 121000110100011.

It is not a de Polignac number, because 110001011000121 - 2³³ = 109992421065529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110001011000129) 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 39 ways as a sum of consecutive naturals, for example, 25104255 + ... + 29158628.

It is an arithmetic number, because the mean of its divisors is an integer number (4254644208672).

Almost surely, 2^{110001011000121} is an apocalyptic number.

It is an amenable number.

110001011000121 is a deficient number, since it is larger than the sum of its proper divisors (60184757346759).

110001011000121 is an equidigital number, since it uses as much as digits as its factorization.

110001011000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54263787 (or 54263778 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110001011000121 its reverse (121000110100011), we get a palindrome (231001121100132).

The spelling of 110001011000121 in words is "one hundred ten trillion, one billion, eleven million, one hundred twenty-one", and thus it is an aban number.