1000220012100 has 729 divisors, whose sum is σ = 3488646033327. Its totient is φ = 239642357760.

The previous prime is 1000220012039. The next prime is 1000220012101. The reversal of 1000220012100 is 12100220001.

The square root of 1000220012100 is 1000110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 448147235844 + 552072776256 = 669438^2 + 743016^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000220012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 18872075674 + ... + 18872075726.

Almost surely, 2^{1000220012100} is an apocalyptic number.

1000220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000220012100 is the 1000110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000220012100

1000220012100 is an abundant number, since it is smaller than the sum of its proper divisors (2488426021227).

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

1000220012100 is a wasteful number, since it uses less digits than its factorization.

1000220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000220012100 its reverse (12100220001), we get a palindrome (1012320232101).

The spelling of 1000220012100 in words is "one trillion, two hundred twenty million, twelve thousand, one hundred".