222102201120100 has 288 divisors, whose sum is σ = 555137253941760. Its totient is φ = 75554435235840.

The previous prime is 222102201120083. The next prime is 222102201120101. The reversal of 222102201120100 is 1021102201222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222102201120101) 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 95 ways as a sum of consecutive naturals, for example, 82473894354 + ... + 82473897046.

It is an arithmetic number, because the mean of its divisors is an integer number (1927559909520).

Almost surely, 2^{222102201120100} is an apocalyptic number.

222102201120100 is a gapful number since it is divisible by the number (20) 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 222102201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277568626970880).

222102201120100 is an abundant number, since it is smaller than the sum of its proper divisors (333035052821660).

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

222102201120100 is a wasteful number, since it uses less digits than its factorization.

222102201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4600 counting only the distinct ones).

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

Adding to 222102201120100 its reverse (1021102201222), we get a palindrome (223123303321322).

The spelling of 222102201120100 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred one million, one hundred twenty thousand, one hundred".