2212222112100 has 864 divisors, whose sum is σ = 9655028038656. Its totient is φ = 424317657600.

The previous prime is 2212222112083. The next prime is 2212222112131. The reversal of 2212222112100 is 12112222122.

It is a happy number.

2212222112100 is a `hidden beast` number, since 2 + 21 + 222 + 211 + 210 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 24278827 + ... + 24369773.

Almost surely, 2^{2212222112100} is an apocalyptic number.

2212222112100 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 2212222112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827514019328).

2212222112100 is an abundant number, since it is smaller than the sum of its proper divisors (7442805926556).

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

2212222112100 is a wasteful number, since it uses less digits than its factorization.

2212222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91007 (or 90988 counting only the distinct ones).

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

Adding to 2212222112100 its reverse (12112222122), we get a palindrome (2224334334222).

The spelling of 2212222112100 in words is "two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".