1000212220100 has 36 divisors (see below), whose sum is σ = 2190373023300. Its totient is φ = 396414380160.

The previous prime is 1000212220061. The next prime is 1000212220109. The reversal of 1000212220100 is 10222120001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 172836421696 + 827375798404 = 415736^2 + 909602^2 .

It is not an unprimeable number, because it can be changed into a prime (1000212220109) 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 11 ways as a sum of consecutive naturals, for example, 45870395 + ... + 45892194.

Almost surely, 2^{1000212220100} is an apocalyptic number.

1000212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212220100 is an abundant number, since it is smaller than the sum of its proper divisors (1190160803200).

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

1000212220100 is a wasteful number, since it uses less digits than its factorization.

1000212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91762712 (or 91762705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000212220100 its reverse (10222120001), we get a palindrome (1010434340101).

The spelling of 1000212220100 in words is "one trillion, two hundred twelve million, two hundred twenty thousand, one hundred".