1001001001121 has 16 divisors (see below), whose sum is σ = 1098326423040. Its totient is φ = 904740433920.

The previous prime is 1001001001103. The next prime is 1001001001151. The reversal of 1001001001121 is 1211001001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001001001121 - 2¹⁸ = 1001000738977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001001001099 and 1001001001108.

It is not an unprimeable number, because it can be changed into a prime (1001001001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621031 + ... + 2151683.

It is an arithmetic number, because the mean of its divisors is an integer number (68645401440).

Almost surely, 2^{1001001001121} is an apocalyptic number.

1001001001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001001001121 is a deficient number, since it is larger than the sum of its proper divisors (97325421919).

1001001001121 is a wasteful number, since it uses less digits than its factorization.

1001001001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531656.

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

Adding to 1001001001121 its reverse (1211001001001), we get a palindrome (2212002002122).

It can be divided in two parts, 1001001001 and 121, that multiplied together give a palindrome (121121121121).

The spelling of 1001001001121 in words is "one trillion, one billion, one million, one thousand, one hundred twenty-one".