212222211100101 has 6 divisors (see below), whose sum is σ = 306543193811270. Its totient is φ = 141481474066728.

The previous prime is 212222211100057. The next prime is 212222211100129. The reversal of 212222211100101 is 101001112222212.

212222211100101 is a `hidden beast` number, since 21 + 222 + 221 + 1 + 100 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212063464635201 + 158746464900 = 14562399^2 + 398430^2 .

It is not a de Polignac number, because 212222211100101 - 2⁹ = 212222211099589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222211100201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11790122838886 + ... + 11790122838903.

Almost surely, 2^{212222211100101} is an apocalyptic number.

It is an amenable number.

212222211100101 is a deficient number, since it is larger than the sum of its proper divisors (94320982711169).

212222211100101 is a wasteful number, since it uses less digits than its factorization.

212222211100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23580245677795 (or 23580245677792 counting only the distinct ones).

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

Adding to 212222211100101 its reverse (101001112222212), we get a palindrome (313223323322313).

It can be divided in two parts, 21222221 and 1100101, that added together give a palindrome (22322322).

The spelling of 212222211100101 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred eleven million, one hundred thousand, one hundred one".