212303222100 has 144 divisors (see below), whose sum is σ = 689274008640. Its totient is φ = 56053584000.

The previous prime is 212303222017. The next prime is 212303222101. The reversal of 212303222100 is 1222303212.

212303222100 is a `hidden beast` number, since 212 + 30 + 322 + 2 + 100 = 666.

It is a super-2 number, since 2×212303222100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212303222101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116562 + ... + 661961.

It is an arithmetic number, because the mean of its divisors is an integer number (4786625060).

Almost surely, 2^212303222100 is an apocalyptic number.

212303222100 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 212303222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344637004320).

212303222100 is an abundant number, since it is smaller than the sum of its proper divisors (476970786540).

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

212303222100 is a wasteful number, since it uses less digits than its factorization.

212303222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778647 (or 778634 counting only the distinct ones).

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

Adding to 212303222100 its reverse (1222303212), we get a palindrome (213525525312).

The spelling of 212303222100 in words is "two hundred twelve billion, three hundred three million, two hundred twenty-two thousand, one hundred".