2122212221100 has 216 divisors, whose sum is σ = 6674424524768. Its totient is φ = 564015052800.

The previous prime is 2122212221081. The next prime is 2122212221203. The reversal of 2122212221100 is 11222122212.

It is a happy number.

2122212221100 is a `hidden beast` number, since 212 + 221 + 2 + 221 + 10 + 0 = 666.

It is a super-2 number, since 2×2122212221100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 384386340 + ... + 384391860.

Almost surely, 2^{2122212221100} is an apocalyptic number.

2122212221100 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 2122212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337212262384).

2122212221100 is an abundant number, since it is smaller than the sum of its proper divisors (4552212303668).

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

2122212221100 is a wasteful number, since it uses less digits than its factorization.

2122212221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122212221100 its reverse (11222122212), we get a palindrome (2133434343312).

The spelling of 2122212221100 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".