211100221120100 has 72 divisors (see below), whose sum is σ = 493360080725568. Its totient is φ = 77939150889600.

The previous prime is 211100221120049. The next prime is 211100221120133. The reversal of 211100221120100 is 1021122001112.

It is a super-2 number, since 2×211100221120100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12522107 + ... + 24062493.

Almost surely, 2^{211100221120100} is an apocalyptic number.

211100221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100221120100 is an abundant number, since it is smaller than the sum of its proper divisors (282259859605468).

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

211100221120100 is a wasteful number, since it uses less digits than its factorization.

211100221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554485 (or 11554478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211100221120100 its reverse (1021122001112), we get a palindrome (212121343121212).

The spelling of 211100221120100 in words is "two hundred eleven trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".