10001122022221 has 16 divisors (see below), whose sum is σ = 11047878091008. Its totient is φ = 8977775832000.

The previous prime is 10001122022161. The next prime is 10001122022291. The reversal of 10001122022221 is 12222022110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001122022221 - 2¹⁷ = 10001121891149 is a prime.

It is a super-3 number, since 3×10001122022221³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001122022195 and 10001122022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122022291) 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, 11652501 + ... + 12481306.

It is an arithmetic number, because the mean of its divisors is an integer number (690492380688).

Almost surely, 2^{10001122022221} is an apocalyptic number.

10001122022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001122022221 is a deficient number, since it is larger than the sum of its proper divisors (1046756068787).

10001122022221 is a wasteful number, since it uses less digits than its factorization.

10001122022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24134292.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10001122022221 its reverse (12222022110001), we get a palindrome (22223144132222).

The spelling of 10001122022221 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-one".