212100222101121 has 64 divisors (see below), whose sum is σ = 317604954266880. Its totient is φ = 139880520000000.

The previous prime is 212100222101099. The next prime is 212100222101143. The reversal of 212100222101121 is 121101222001212.

212100222101121 is a `hidden beast` number, since 212 + 10 + 0 + 222 + 101 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (212100222101099) and next prime (212100222101143).

It is not a de Polignac number, because 212100222101121 - 2¹⁵ = 212100222068353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100222101094 and 212100222101103.

It is not an unprimeable number, because it can be changed into a prime (212100222101171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18851671746 + ... + 18851682996.

It is an arithmetic number, because the mean of its divisors is an integer number (4962577410420).

Almost surely, 2^{212100222101121} is an apocalyptic number.

It is an amenable number.

212100222101121 is a deficient number, since it is larger than the sum of its proper divisors (105504732165759).

212100222101121 is a wasteful number, since it uses less digits than its factorization.

212100222101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655 (or 16649 counting only the distinct ones).

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

Adding to 212100222101121 its reverse (121101222001212), we get a palindrome (333201444102333).

Subtracting from 212100222101121 its reverse (121101222001212), we obtain a palindrome (90999000099909).

The spelling of 212100222101121 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-one".