110001100121 has 24 divisors (see below), whose sum is σ = 126718952640. Its totient is φ = 95234879520.

The previous prime is 110001100087. The next prime is 110001100127. The reversal of 110001100121 is 121001100011.

It is a happy number.

It is not a de Polignac number, because 110001100121 - 2²⁶ = 109933991257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001100099 and 110001100108.

It is not an unprimeable number, because it can be changed into a prime (110001100127) 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, 551006 + ... + 723608.

It is an arithmetic number, because the mean of its divisors is an integer number (5279956360).

Almost surely, 2^110001100121 is an apocalyptic number.

110001100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001100121 is a deficient number, since it is larger than the sum of its proper divisors (16717852519).

110001100121 is a wasteful number, since it uses less digits than its factorization.

110001100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172877 (or 172866 counting only the distinct ones).

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

Adding to 110001100121 its reverse (121001100011), we get a palindrome (231002200132).

The spelling of 110001100121 in words is "one hundred ten billion, one million, one hundred thousand, one hundred twenty-one".