10000000001221 has 16 divisors (see below), whose sum is σ = 10417856803200. Its totient is φ = 9587067336000.

The previous prime is 10000000001207. The next prime is 10000000001239. The reversal of 10000000001221 is 12210000000001.

It is a cyclic number.

It is not a de Polignac number, because 10000000001221 - 2⁷ = 10000000001093 is a prime.

It is a Duffinian number.

10000000001221 is a modest number, since divided by 1221 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000001261) 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 15 ways as a sum of consecutive naturals, for example, 9616606 + ... + 10605616.

It is an arithmetic number, because the mean of its divisors is an integer number (651116050200).

Almost surely, 2^{10000000001221} is an apocalyptic number.

It is an amenable number.

10000000001221 is a deficient number, since it is larger than the sum of its proper divisors (417856801979).

10000000001221 is a wasteful number, since it uses less digits than its factorization.

10000000001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991500.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000000001221 its reverse (12210000000001), we get a palindrome (22210000001222).

The spelling of 10000000001221 in words is "ten trillion, one thousand, two hundred twenty-one".