10000211221100 has 18 divisors (see below), whose sum is σ = 21700458350004. Its totient is φ = 4000084488400.

The previous prime is 10000211221081. The next prime is 10000211221141. The reversal of 10000211221100 is 112211200001.

It is a super-3 number, since 3×10000211221100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50001056006 + ... + 50001056205.

Almost surely, 2^{10000211221100} is an apocalyptic number.

10000211221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000211221100 is an abundant number, since it is smaller than the sum of its proper divisors (11700247128904).

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

10000211221100 is a wasteful number, since it uses less digits than its factorization.

10000211221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100002112225 (or 100002112218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000211221100 its reverse (112211200001), we get a palindrome (10112422421101).

The spelling of 10000211221100 in words is "ten trillion, two hundred eleven million, two hundred twenty-one thousand, one hundred".