222100100 has 36 divisors (see below), whose sum is σ = 482695668. Its totient is φ = 88704000.

The previous prime is 222100097. The next prime is 222100103. The reversal of 222100100 is 1001222.

It is an interprime number because it is at equal distance from previous prime (222100097) and next prime (222100103).

It can be written as a sum of positive squares in 6 ways, for example, as 91546624 + 130553476 = 9568^2 + 11426^2 .

It is not an unprimeable number, because it can be changed into a prime (222100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86840 + ... + 89360.

It is an arithmetic number, because the mean of its divisors is an integer number (13408213).

Almost surely, 2^222100100 is an apocalyptic number.

222100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100100 is an abundant number, since it is smaller than the sum of its proper divisors (260595568).

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

222100100 is a wasteful number, since it uses less digits than its factorization.

222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 222100100 is about 14903.0231832337. The cubic root of 222100100 is about 605.5958885436.

Adding to 222100100 its reverse (1001222), we get a palindrome (223101322).

The spelling of 222100100 in words is "two hundred twenty-two million, one hundred thousand, one hundred".