100122221221 has 32 divisors (see below), whose sum is σ = 112645385856. Its totient is φ = 88225920000.

The previous prime is 100122221209. The next prime is 100122221273. The reversal of 100122221221 is 122122221001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100122221221 - 2⁷ = 100122221093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122221195 and 100122221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122221291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11106606 + ... + 11115616.

It is an arithmetic number, because the mean of its divisors is an integer number (3520168308).

Almost surely, 2^100122221221 is an apocalyptic number.

100122221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122221221 is a deficient number, since it is larger than the sum of its proper divisors (12523164635).

100122221221 is a wasteful number, since it uses less digits than its factorization.

100122221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333.

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

Adding to 100122221221 its reverse (122122221001), we get a palindrome (222244442222).

It can be divided in two parts, 1001 and 22221221, that added together give a palindrome (22222222).

The spelling of 100122221221 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".