212122110010122 has 48 divisors (see below), whose sum is σ = 524066389446600. Its totient is φ = 61429027332096.

The previous prime is 212122110010117. The next prime is 212122110010157. The reversal of 212122110010122 is 221010011221212.

212122110010122 is a `hidden beast` number, since 212 + 1 + 221 + 100 + 10 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149244362666721 + 62877747343401 = 12216561^2 + 7929549^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212122110010095 and 212122110010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26661900247 + ... + 26661908202.

Almost surely, 2^{212122110010122} is an apocalyptic number.

212122110010122 is an abundant number, since it is smaller than the sum of its proper divisors (311944279436478).

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

212122110010122 is a wasteful number, since it uses less digits than its factorization.

212122110010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53323808487 (or 53323808484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122110010122 its reverse (221010011221212), we get a palindrome (433132121231334).

The spelling of 212122110010122 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred ten million, ten thousand, one hundred twenty-two".