110100100121 has 4 divisors (see below), whose sum is σ = 120109200144. Its totient is φ = 100091000100.

The previous prime is 110100100091. The next prime is 110100100139. The reversal of 110100100121 is 121001001011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 110100100121 - 2⁶ = 110100100057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100100099 and 110100100108.

It is not an unprimeable number, because it can be changed into a prime (110100100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5004549995 + ... + 5004550016.

It is an arithmetic number, because the mean of its divisors is an integer number (30027300036).

Almost surely, 2^110100100121 is an apocalyptic number.

110100100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100100121 is a deficient number, since it is larger than the sum of its proper divisors (10009100023).

110100100121 is a wasteful number, since it uses less digits than its factorization.

110100100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009100022.

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

Adding to 110100100121 its reverse (121001001011), we get a palindrome (231101101132).

The spelling of 110100100121 in words is "one hundred ten billion, one hundred million, one hundred thousand, one hundred twenty-one".