1000221220121 has 8 divisors (see below), whose sum is σ = 1009427449800. Its totient is φ = 991015534080.

The previous prime is 1000221220111. The next prime is 1000221220177. The reversal of 1000221220121 is 1210221220001.

1000221220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10323576025 + 989897644096 = 101605^2 + 994936^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000221220121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000221220096 and 1000221220105.

It is not an unprimeable number, because it can be changed into a prime (1000221220111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191695 + ... + 4423883.

It is an arithmetic number, because the mean of its divisors is an integer number (126178431225).

Almost surely, 2^{1000221220121} is an apocalyptic number.

It is an amenable number.

1000221220121 is a deficient number, since it is larger than the sum of its proper divisors (9206229679).

1000221220121 is a wasteful number, since it uses less digits than its factorization.

1000221220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271819.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1000221220121 its reverse (1210221220001), we get a palindrome (2210442440122).

The spelling of 1000221220121 in words is "one trillion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".