222012202100 has 144 divisors (see below), whose sum is σ = 549734533488. Its totient is φ = 77097000960.

The previous prime is 222012202057. The next prime is 222012202127. The reversal of 222012202100 is 1202210222.

It can be written as a sum of positive squares in 24 ways, for example, as 137015464336 + 84996737764 = 370156^2 + 291542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42716702 + ... + 42721898.

It is an arithmetic number, because the mean of its divisors is an integer number (3817600927).

Almost surely, 2^222012202100 is an apocalyptic number.

222012202100 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 222012202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274867266744).

222012202100 is an abundant number, since it is smaller than the sum of its proper divisors (327722331388).

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

222012202100 is a wasteful number, since it uses less digits than its factorization.

222012202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222012202100 its reverse (1202210222), we get a palindrome (223214412322).

The spelling of 222012202100 in words is "two hundred twenty-two billion, twelve million, two hundred two thousand, one hundred".