211222211222100 has 432 divisors, whose sum is σ = 688652127345728. Its totient is φ = 49682688491520.

The previous prime is 211222211222089. The next prime is 211222211222107. The reversal of 211222211222100 is 1222112222112.

It is a super-2 number, since 2×211222211222100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222211222107) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 317818347 + ... + 318482253.

Almost surely, 2^{211222211222100} is an apocalyptic number.

211222211222100 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 211222211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344326063672864).

211222211222100 is an abundant number, since it is smaller than the sum of its proper divisors (477429916123628).

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

211222211222100 is a wasteful number, since it uses less digits than its factorization.

211222211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664092 (or 664056 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211222211222100 its reverse (1222112222112), we get a palindrome (212444323444212).

The spelling of 211222211222100 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".