110221222202100 has 216 divisors, whose sum is σ = 349390868725080. Its totient is φ = 29059850096640.

The previous prime is 110221222202033. The next prime is 110221222202191. The reversal of 110221222202100 is 1202222122011.

It is a happy number.

110221222202100 is a `hidden beast` number, since 1 + 10 + 221 + 2 + 2 + 220 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 90252014011236 + 19969208190864 = 9500106^2 + 4468692^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1223642664 + ... + 1223732736.

Almost surely, 2^{110221222202100} is an apocalyptic number.

110221222202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174695434362540).

110221222202100 is an abundant number, since it is smaller than the sum of its proper divisors (239169646522980).

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

110221222202100 is a wasteful number, since it uses less digits than its factorization.

110221222202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105459 (or 105449 counting only the distinct ones).

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

Adding to 110221222202100 its reverse (1202222122011), we get a palindrome (111423444324111).

The spelling of 110221222202100 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, one hundred".