1001221122121 has 16 divisors (see below), whose sum is σ = 1094558781888. Its totient is φ = 908270438400.

The previous prime is 1001221122107. The next prime is 1001221122163. The reversal of 1001221122121 is 1212211221001.

It is a cyclic number.

It is not a de Polignac number, because 1001221122121 - 2²⁹ = 1000684251209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001221122095 and 1001221122104.

It is not an unprimeable number, because it can be changed into a prime (1001221122721) 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, 34101970 + ... + 34131316.

It is an arithmetic number, because the mean of its divisors is an integer number (68409923868).

Almost surely, 2^{1001221122121} is an apocalyptic number.

1001221122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001221122121 is a deficient number, since it is larger than the sum of its proper divisors (93337659767).

1001221122121 is a wasteful number, since it uses less digits than its factorization.

1001221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35832.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001221122121 its reverse (1212211221001), we get a palindrome (2213432343122).

The spelling of 1001221122121 in words is "one trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".