212022002222100 has 648 divisors, whose sum is σ = 820803632288640. Its totient is φ = 44756642810880.

The previous prime is 212022002222081. The next prime is 212022002222119. The reversal of 212022002222100 is 1222200220212.

212022002222100 is a `hidden beast` number, since 2 + 12 + 0 + 220 + 0 + 222 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212022002222081) and next prime (212022002222119).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 120990966 + ... + 122730834.

Almost surely, 2^{212022002222100} is an apocalyptic number.

212022002222100 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 212022002222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410401816144320).

212022002222100 is an abundant number, since it is smaller than the sum of its proper divisors (608781630066540).

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

212022002222100 is a wasteful number, since it uses less digits than its factorization.

212022002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739977 (or 1739938 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212022002222100 its reverse (1222200220212), we get a palindrome (213244202442312).

The spelling of 212022002222100 in words is "two hundred twelve trillion, twenty-two billion, two million, two hundred twenty-two thousand, one hundred".