100122122221 has 32 divisors (see below), whose sum is σ = 114672983040. Its totient is φ = 86596540800.

The previous prime is 100122122173. The next prime is 100122122293. The reversal of 100122122221 is 122221221001.

It is a happy number.

It is not a de Polignac number, because 100122122221 - 2¹¹ = 100122120173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122122195 and 100122122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122921) 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, 13241640 + ... + 13249198.

It is an arithmetic number, because the mean of its divisors is an integer number (3583530720).

Almost surely, 2^100122122221 is an apocalyptic number.

100122122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122122221 is a deficient number, since it is larger than the sum of its proper divisors (14550860819).

100122122221 is a wasteful number, since it uses less digits than its factorization.

100122122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337.

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

Adding to 100122122221 its reverse (122221221001), we get a palindrome (222343343222).

The spelling of 100122122221 in words is "one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".