1100001001121 has 16 divisors (see below), whose sum is σ = 1215779400576. Its totient is φ = 986916000000.

The previous prime is 1100001001103. The next prime is 1100001001147. The reversal of 1100001001121 is 1211001000011.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100001001121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100001001099 and 1100001001108.

It is not an unprimeable number, because it can be changed into a prime (1100001001721) 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 15 ways as a sum of consecutive naturals, for example, 1246280 + ... + 1937321.

It is an arithmetic number, because the mean of its divisors is an integer number (75986212536).

Almost surely, 2^{1100001001121} is an apocalyptic number.

1100001001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100001001121 is a deficient number, since it is larger than the sum of its proper divisors (115778399455).

1100001001121 is a wasteful number, since it uses less digits than its factorization.

1100001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184024.

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

Adding to 1100001001121 its reverse (1211001000011), we get a palindrome (2311002001132).

The spelling of 1100001001121 in words is "one trillion, one hundred billion, one million, one thousand, one hundred twenty-one".