100222122100 has 36 divisors (see below), whose sum is σ = 217735962444. Its totient is φ = 40042036480.

The previous prime is 100222122059. The next prime is 100222122107. The reversal of 100222122100 is 1221222001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2003815696 + 98218306404 = 44764^2 + 313398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222122107) 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 11 ways as a sum of consecutive naturals, for example, 499027 + ... + 670426.

It is an arithmetic number, because the mean of its divisors is an integer number (6048221179).

Almost surely, 2^100222122100 is an apocalyptic number.

100222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222122100 is an abundant number, since it is smaller than the sum of its proper divisors (117513840344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100222122100 is a wasteful number, since it uses less digits than its factorization.

100222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170324 (or 1170317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222122100 its reverse (1221222001), we get a palindrome (101443344101).

Subtracting from 100222122100 its reverse (1221222001), we obtain a palindrome (99000900099).

The spelling of 100222122100 in words is "one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".