1001000122221 has 64 divisors (see below), whose sum is σ = 1537225113600. Its totient is φ = 573017457600.

The previous prime is 1001000122211. The next prime is 1001000122237. The reversal of 1001000122221 is 1222210001001.

It is not a de Polignac number, because 1001000122221 - 2²⁶ = 1000933013357 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001000122197 and 1001000122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000122211) 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 63 ways as a sum of consecutive naturals, for example, 374764716 + ... + 374767386.

It is an arithmetic number, because the mean of its divisors is an integer number (24019142400).

Almost surely, 2^{1001000122221} is an apocalyptic number.

1001000122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001000122221 is a deficient number, since it is larger than the sum of its proper divisors (536224991379).

1001000122221 is a wasteful number, since it uses less digits than its factorization.

1001000122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001000122221 its reverse (1222210001001), we get a palindrome (2223210123222).

The spelling of 1001000122221 in words is "one trillion, one billion, one hundred twenty-two thousand, two hundred twenty-one".