212112122120001 has 10 divisors (see below), whose sum is σ = 316858849092962. Its totient is φ = 141408081413280.

The previous prime is 212112122119993. The next prime is 212112122120039. The reversal of 212112122120001 is 100021221211212.

212112122120001 is a `hidden beast` number, since 2 + 121 + 121 + 221 + 200 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120509019075600 + 91603103044401 = 10977660^2 + 9570951^2 .

It is not a de Polignac number, because 212112122120001 - 2³ = 212112122119993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212112122122001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1309334087080 + ... + 1309334087241.

Almost surely, 2^{212112122120001} is an apocalyptic number.

It is an amenable number.

212112122120001 is a deficient number, since it is larger than the sum of its proper divisors (104746726972961).

212112122120001 is an equidigital number, since it uses as much as digits as its factorization.

212112122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618668174333 (or 2618668174324 counting only the distinct ones).

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

Adding to 212112122120001 its reverse (100021221211212), we get a palindrome (312133343331213).

The spelling of 212112122120001 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one".