10001111220221 has 16 divisors (see below), whose sum is σ = 11552257221120. Its totient is φ = 8556973447680.

The previous prime is 10001111220211. The next prime is 10001111220253. The reversal of 10001111220221 is 12202211110001.

It is a cyclic number.

It is not a de Polignac number, because 10001111220221 - 2⁶ = 10001111220157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001111220196 and 10001111220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111220211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13533620 + ... + 14253458.

It is an arithmetic number, because the mean of its divisors is an integer number (722016076320).

Almost surely, 2^{10001111220221} is an apocalyptic number.

10001111220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111220221 is a deficient number, since it is larger than the sum of its proper divisors (1551146000899).

10001111220221 is a wasteful number, since it uses less digits than its factorization.

10001111220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794164.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001111220221 its reverse (12202211110001), we get a palindrome (22203322330222).

The spelling of 10001111220221 in words is "ten trillion, one billion, one hundred eleven million, two hundred twenty thousand, two hundred twenty-one".