10221221121001 has 16 divisors (see below), whose sum is σ = 11174467609728. Its totient is φ = 9272002320000.

The previous prime is 10221221120987. The next prime is 10221221121103. The reversal of 10221221121001 is 10012112212201.

It is a cyclic number.

It is not a de Polignac number, because 10221221121001 - 2⁹ = 10221221120489 is a prime.

It is a super-2 number, since 2×10221221121001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221221121401) 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, 9604501 + ... + 10615501.

It is an arithmetic number, because the mean of its divisors is an integer number (698404225608).

Almost surely, 2^{10221221121001} is an apocalyptic number.

10221221121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221221121001 is a deficient number, since it is larger than the sum of its proper divisors (953246488727).

10221221121001 is a wasteful number, since it uses less digits than its factorization.

10221221121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012992.

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

Adding to 10221221121001 its reverse (10012112212201), we get a palindrome (20233333333202).

The spelling of 10221221121001 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one".