10222221221100 has 432 divisors, whose sum is σ = 37308351487680. Its totient is φ = 2292885504000.

The previous prime is 10222221221089. The next prime is 10222221221153. The reversal of 10222221221100 is 112212222201.

It is a happy number.

10222221221100 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 221 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71830816 + ... + 71972984.

It is an arithmetic number, because the mean of its divisors is an integer number (86361924740).

Almost surely, 2^{10222221221100} is an apocalyptic number.

10222221221100 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 10222221221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654175743840).

10222221221100 is an abundant number, since it is smaller than the sum of its proper divisors (27086130266580).

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

10222221221100 is a wasteful number, since it uses less digits than its factorization.

10222221221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142410 (or 142400 counting only the distinct ones).

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

Adding to 10222221221100 its reverse (112212222201), we get a palindrome (10334433443301).

The spelling of 10222221221100 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".