100221122100222 has 96 divisors (see below), whose sum is σ = 229191189776640. Its totient is φ = 31587469879680.

The previous prime is 100221122100221. The next prime is 100221122100227. The reversal of 100221122100222 is 222001221122001.

It is a happy number.

100221122100222 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 1 + 221 + 0 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100221122100195 and 100221122100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221122100221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145086597 + ... + 145775727.

It is an arithmetic number, because the mean of its divisors is an integer number (2387408226840).

Almost surely, 2^{100221122100222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221122100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114595594888320).

100221122100222 is an abundant number, since it is smaller than the sum of its proper divisors (128970067676418).

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

100221122100222 is a wasteful number, since it uses less digits than its factorization.

100221122100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693198 (or 693195 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221122100222 its reverse (222001221122001), we get a palindrome (322222343222223).

The spelling of 100221122100222 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-two".