211222002100 has 36 divisors (see below), whose sum is σ = 458407433484. Its totient is φ = 84478535680.

The previous prime is 211222002007. The next prime is 211222002113. The reversal of 211222002100 is 1200222112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4964329764 + 206257672336 = 70458^2 + 454156^2 .

It is a super-2 number, since 2×211222002100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727242 + ... + 975358.

It is an arithmetic number, because the mean of its divisors is an integer number (12733539819).

Almost surely, 2^211222002100 is an apocalyptic number.

211222002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222002100 is an abundant number, since it is smaller than the sum of its proper divisors (247185431384).

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

211222002100 is a wasteful number, since it uses less digits than its factorization.

211222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256644 (or 256637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211222002100 its reverse (1200222112), we get a palindrome (212422224212).

The spelling of 211222002100 in words is "two hundred eleven billion, two hundred twenty-two million, two thousand, one hundred".