211222202100 has 288 divisors, whose sum is σ = 752825149440. Its totient is φ = 44526620160.

The previous prime is 211222202077. The next prime is 211222202101. The reversal of 211222202100 is 1202222112.

211222202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222202100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211222202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222202101) 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 95 ways as a sum of consecutive naturals, for example, 39828049 + ... + 39833351.

Almost surely, 2^211222202100 is an apocalyptic number.

211222202100 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 211222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376412574720).

211222202100 is an abundant number, since it is smaller than the sum of its proper divisors (541602947340).

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

211222202100 is a wasteful number, since it uses less digits than its factorization.

211222202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211222202100 its reverse (1202222112), we get a palindrome (212424424212).

It can be divided in two parts, 21122 and 2202100, that added together give a palindrome (2223222).

The spelling of 211222202100 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred two thousand, one hundred".