1000111001121 has 6 divisors (see below), whose sum is σ = 1444604779410. Its totient is φ = 666740667408.

The previous prime is 1000111001119. The next prime is 1000111001143. The reversal of 1000111001121 is 1211001110001.

It can be written as a sum of positive squares in only one way, i.e., 546860250000 + 453250751121 = 739500^2 + 673239^2 .

It is not a de Polignac number, because 1000111001121 - 2¹ = 1000111001119 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: 111123444569 = 1000111001121 / (1 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (1000111001191) 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 5 ways as a sum of consecutive naturals, for example, 55561722276 + ... + 55561722293.

It is an arithmetic number, because the mean of its divisors is an integer number (240767463235).

Almost surely, 2^{1000111001121} is an apocalyptic number.

It is an amenable number.

1000111001121 is a deficient number, since it is larger than the sum of its proper divisors (444493778289).

1000111001121 is a wasteful number, since it uses less digits than its factorization.

1000111001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111123444575 (or 111123444572 counting only the distinct ones).

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

Adding to 1000111001121 its reverse (1211001110001), we get a palindrome (2211112111122).

The spelling of 1000111001121 in words is "one trillion, one hundred eleven million, one thousand, one hundred twenty-one".