211222022000100 has 72 divisors (see below), whose sum is σ = 627652898560128. Its totient is φ = 54803551651200.

The previous prime is 211222022000081. The next prime is 211222022000159. The reversal of 211222022000100 is 1000220222112.

It is a super-2 number, since 2×211222022000100² (a number of 29 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 211222022000100.

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 23 ways as a sum of consecutive naturals, for example, 9514494396 + ... + 9514516595.

Almost surely, 2^{211222022000100} is an apocalyptic number.

211222022000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222022000100 is an abundant number, since it is smaller than the sum of its proper divisors (416430876560028).

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

211222022000100 is a wasteful number, since it uses less digits than its factorization.

211222022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029011045 (or 19029011038 counting only the distinct ones).

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

Adding to 211222022000100 its reverse (1000220222112), we get a palindrome (212222242222212).

The spelling of 211222022000100 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty-two million, one hundred", and thus it is an aban number.