212233220100 has 432 divisors, whose sum is σ = 758127726720. Its totient is φ = 49187174400.

The previous prime is 212233220099. The next prime is 212233220113. The reversal of 212233220100 is 1022332212.

212233220100 is a `hidden beast` number, since 21 + 223 + 322 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 29567712 + ... + 29574888.

Almost surely, 2^212233220100 is an apocalyptic number.

212233220100 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 212233220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379063863360).

212233220100 is an abundant number, since it is smaller than the sum of its proper divisors (545894506620).

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

212233220100 is a wasteful number, since it uses less digits than its factorization.

212233220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212233220100 its reverse (1022332212), we get a palindrome (213255552312).

The spelling of 212233220100 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred twenty thousand, one hundred".