211222112200100 has 72 divisors (see below), whose sum is σ = 470092852006848. Its totient is φ = 82345743792000.

The previous prime is 211222112200097. The next prime is 211222112200103. The reversal of 211222112200100 is 1002211222112.

It is an interprime number because it is at equal distance from previous prime (211222112200097) and next prime (211222112200103).

It is a super-2 number, since 2×211222112200100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222112200103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131164034 + ... + 132764633.

It is an arithmetic number, because the mean of its divisors is an integer number (6529067388984).

Almost surely, 2^{211222112200100} is an apocalyptic number.

211222112200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222112200100 is an abundant number, since it is smaller than the sum of its proper divisors (258870739806748).

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

211222112200100 is a wasteful number, since it uses less digits than its factorization.

211222112200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263928885 (or 263928878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222112200100 its reverse (1002211222112), we get a palindrome (212224323422212).

The spelling of 211222112200100 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twelve million, two hundred thousand, one hundred".