222200102220100 has 72 divisors (see below), whose sum is σ = 487301844895880. Its totient is φ = 87935446609920.

The previous prime is 222200102220053. The next prime is 222200102220127. The reversal of 222200102220100 is 1022201002222.

It can be written as a sum of positive squares in 12 ways, for example, as 95416285551876 + 126783816668224 = 9768126^2 + 11259832^2 .

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 23 ways as a sum of consecutive naturals, for example, 26473282 + ... + 33841318.

Almost surely, 2^{222200102220100} is an apocalyptic number.

222200102220100 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 222200102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243650922447940).

222200102220100 is an abundant number, since it is smaller than the sum of its proper divisors (265101742675780).

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

222200102220100 is a wasteful number, since it uses less digits than its factorization.

222200102220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371257 (or 7371250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222200102220100 its reverse (1022201002222), we get a palindrome (223222303222322).

The spelling of 222200102220100 in words is "two hundred twenty-two trillion, two hundred billion, one hundred two million, two hundred twenty thousand, one hundred".