212110022002221 has 30 divisors (see below), whose sum is σ = 368587256683470. Its totient is φ = 121205726856144.

The previous prime is 212110022002187. The next prime is 212110022002223. The reversal of 212110022002221 is 122200220011212.

It is a happy number.

212110022002221 is a `hidden beast` number, since 2 + 121 + 100 + 220 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170268206326596 + 41841815675625 = 13048686^2 + 6468525^2 .

It is not a de Polignac number, because 212110022002221 - 2²⁹ = 212109485131309 is a prime.

It is a super-2 number, since 2×212110022002221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212110022002194 and 212110022002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110022002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26720835286 + ... + 26720843223.

It is an arithmetic number, because the mean of its divisors is an integer number (12286241889449).

Almost surely, 2^{212110022002221} is an apocalyptic number.

212110022002221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212110022002221 is a deficient number, since it is larger than the sum of its proper divisors (156477234681249).

212110022002221 is an equidigital number, since it uses as much as digits as its factorization.

212110022002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53441678535 (or 53441678519 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212110022002221 its reverse (122200220011212), we get a palindrome (334310242013433).

The spelling of 212110022002221 in words is "two hundred twelve trillion, one hundred ten billion, twenty-two million, two thousand, two hundred twenty-one".