100011001121 has 4 divisors (see below), whose sum is σ = 100150099200. Its totient is φ = 99871903044.

The previous prime is 100011001117. The next prime is 100011001133. The reversal of 100011001121 is 121100110001.

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 100011001121 - 2² = 100011001117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011001099 and 100011001108.

It is not an unprimeable number, because it can be changed into a prime (100011001171) 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, 69547961 + ... + 69549398.

It is an arithmetic number, because the mean of its divisors is an integer number (25037524800).

Almost surely, 2^100011001121 is an apocalyptic number.

It is an amenable number.

100011001121 is a deficient number, since it is larger than the sum of its proper divisors (139098079).

100011001121 is an equidigital number, since it uses as much as digits as its factorization.

100011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139098078.

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

Adding to 100011001121 its reverse (121100110001), we get a palindrome (221111111122).

The spelling of 100011001121 in words is "one hundred billion, eleven million, one thousand, one hundred twenty-one".