1001001012121 has 8 divisors (see below), whose sum is σ = 1092743474688. Its totient is φ = 909382278000.

The previous prime is 1001001012113. The next prime is 1001001012157. The reversal of 1001001012121 is 1212101001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001001012121 - 2³ = 1001001012113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001001012098 and 1001001012107.

It is not an unprimeable number, because it can be changed into a prime (1001001015121) 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 7 ways as a sum of consecutive naturals, for example, 30915190 + ... + 30947551.

It is an arithmetic number, because the mean of its divisors is an integer number (136592934336).

Almost surely, 2^{1001001012121} is an apocalyptic number.

1001001012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001001012121 is a deficient number, since it is larger than the sum of its proper divisors (91742462567).

1001001012121 is a wasteful number, since it uses less digits than its factorization.

1001001012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61864223.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001001012121 its reverse (1212101001001), we get a palindrome (2213102013122).

The spelling of 1001001012121 in words is "one trillion, one billion, one million, twelve thousand, one hundred twenty-one".