100022121221 has 6 divisors (see below), whose sum is σ = 109941670566. Its totient is φ = 90929201000.

The previous prime is 100022121187. The next prime is 100022121223. The reversal of 100022121221 is 122121220001.

It can be written as a sum of positive squares in only one way, i.e., 90808809025 + 9213312196 = 301345^2 + 95986^2 .

It is not a de Polignac number, because 100022121221 - 2²⁶ = 99955012357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022121196 and 100022121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413314430 + ... + 413314671.

It is an arithmetic number, because the mean of its divisors is an integer number (18323611761).

Almost surely, 2^100022121221 is an apocalyptic number.

100022121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022121221 is a deficient number, since it is larger than the sum of its proper divisors (9919549345).

100022121221 is an equidigital number, since it uses as much as digits as its factorization.

100022121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826629123 (or 826629112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100022121221 its reverse (122121220001), we get a palindrome (222143341222).

The spelling of 100022121221 in words is "one hundred billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".