1001221111121 has 8 divisors (see below), whose sum is σ = 1248275671104. Its totient is φ = 780172294320.

The previous prime is 1001221111103. The next prime is 1001221111123. The reversal of 1001221111121 is 1211111221001.

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 1001221111121 - 2¹⁴ = 1001221094737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001221111096 and 1001221111105.

It is not an unprimeable number, because it can be changed into a prime (1001221111123) 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 7 ways as a sum of consecutive naturals, for example, 6501435710 + ... + 6501435863.

It is an arithmetic number, because the mean of its divisors is an integer number (156034458888).

Almost surely, 2^{1001221111121} is an apocalyptic number.

1001221111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001221111121 is a deficient number, since it is larger than the sum of its proper divisors (247054559983).

1001221111121 is a wasteful number, since it uses less digits than its factorization.

1001221111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002871591.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1001221111121 its reverse (1211111221001), we get a palindrome (2212332332122).

It can be divided in two parts, 100 and 1221111121, that added together give a palindrome (1221111221).

The spelling of 1001221111121 in words is "one trillion, one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".