212222120201100 has 216 divisors, whose sum is σ = 666258144093360. Its totient is φ = 56502475223040.

The previous prime is 212222120201087. The next prime is 212222120201111. The reversal of 212222120201100 is 1102021222212.

It is a happy number.

212222120201100 is a `hidden beast` number, since 2 + 122 + 221 + 20 + 201 + 100 = 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 71 ways as a sum of consecutive naturals, for example, 1601259636 + ... + 1601392164.

Almost surely, 2^{212222120201100} is an apocalyptic number.

212222120201100 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 212222120201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333129072046680).

212222120201100 is an abundant number, since it is smaller than the sum of its proper divisors (454036023892260).

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

212222120201100 is a wasteful number, since it uses less digits than its factorization.

212222120201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135369 (or 135359 counting only the distinct ones).

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

Adding to 212222120201100 its reverse (1102021222212), we get a palindrome (213324141423312).

The spelling of 212222120201100 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty million, two hundred one thousand, one hundred".