212200220221002 has 72 divisors (see below), whose sum is σ = 515021754861900. Its totient is φ = 63040914203904.

The previous prime is 212200220220979. The next prime is 212200220221013. The reversal of 212200220221002 is 200122022002212.

212200220221002 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 220 + 221 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38248151571081 + 173952068649921 = 6184509^2 + 13189089^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202615427 + ... + 1202791862.

Almost surely, 2^{212200220221002} is an apocalyptic number.

212200220221002 is an abundant number, since it is smaller than the sum of its proper divisors (302821534640898).

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

212200220221002 is a wasteful number, since it uses less digits than its factorization.

212200220221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405407352 (or 2405407336 counting only the distinct ones).

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

Adding to 212200220221002 its reverse (200122022002212), we get a palindrome (412322242223214).

The spelling of 212200220221002 in words is "two hundred twelve trillion, two hundred billion, two hundred twenty million, two hundred twenty-one thousand, two".