212121102001122 has 12 divisors (see below), whose sum is σ = 459595721002470. Its totient is φ = 70707034000368.

The previous prime is 212121102001117. The next prime is 212121102001187. The reversal of 212121102001122 is 221100201121212.

212121102001122 is a `hidden beast` number, since 21 + 212 + 110 + 200 + 1 + 122 = 666.

212121102001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 165013318754001 + 47107783247121 = 12845751^2 + 6863511^2 .

It is a super-3 number, since 3×212121102001122³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11784505666729 = 212121102001122 / (2 + 1 + 2 + 1 + 2 + 1 + 1 + 0 + 2 + 0 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 212121102001095 and 212121102001104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5892252833347 + ... + 5892252833382.

Almost surely, 2^{212121102001122} is an apocalyptic number.

212121102001122 is an abundant number, since it is smaller than the sum of its proper divisors (247474619001348).

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

212121102001122 is a wasteful number, since it uses less digits than its factorization.

212121102001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784505666737 (or 11784505666734 counting only the distinct ones).

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

Adding to 212121102001122 its reverse (221100201121212), we get a palindrome (433221303122334).

The spelling of 212121102001122 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, one thousand, one hundred twenty-two".