212212201121100 has 216 divisors, whose sum is σ = 700198187729040. Its totient is φ = 53609817047040.

The previous prime is 212212201121069. The next prime is 212212201121147. The reversal of 212212201121100 is 1121102212212.

212212201121100 is a `hidden beast` number, since 2 + 1 + 221 + 220 + 1 + 121 + 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, 596834572 + ... + 597190028.

Almost surely, 2^{212212201121100} is an apocalyptic number.

212212201121100 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 212212201121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350099093864520).

212212201121100 is an abundant number, since it is smaller than the sum of its proper divisors (487985986607940).

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

212212201121100 is a wasteful number, since it uses less digits than its factorization.

212212201121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390409 (or 390399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212212201121100 its reverse (1121102212212), we get a palindrome (213333303333312).

The spelling of 212212201121100 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred".