1001121000111 has 6 divisors (see below), whose sum is σ = 1446063666840. Its totient is φ = 667414000068.

The previous prime is 1001121000083. The next prime is 1001121000133. The reversal of 1001121000111 is 1110001211001.

It is not a de Polignac number, because 1001121000111 - 2²³ = 1001112611503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111235666679 = 1001121000111 / (1 + 0 + 0 + 1 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1001121000093 and 1001121000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121000311) 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 5 ways as a sum of consecutive naturals, for example, 55617833331 + ... + 55617833348.

It is an arithmetic number, because the mean of its divisors is an integer number (241010611140).

Almost surely, 2^{1001121000111} is an apocalyptic number.

1001121000111 is a deficient number, since it is larger than the sum of its proper divisors (444942666729).

1001121000111 is a wasteful number, since it uses less digits than its factorization.

1001121000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111235666685 (or 111235666682 counting only the distinct ones).

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

Adding to 1001121000111 its reverse (1110001211001), we get a palindrome (2111122211112).

The spelling of 1001121000111 in words is "one trillion, one billion, one hundred twenty-one million, one hundred eleven", and thus it is an aban number.