212120022112101 has 16 divisors (see below), whose sum is σ = 314259016955520. Its totient is φ = 141410138519520.

The previous prime is 212120022112069. The next prime is 212120022112133. The reversal of 212120022112101 is 101211220021212.

212120022112101 is a `hidden beast` number, since 2 + 121 + 200 + 221 + 121 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212120022112069) and next prime (212120022112133).

It is not a de Polignac number, because 212120022112101 - 2⁵ = 212120022112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120022112181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87942360 + ... + 90322193.

It is an arithmetic number, because the mean of its divisors is an integer number (19641188559720).

Almost surely, 2^{212120022112101} is an apocalyptic number.

It is an amenable number.

212120022112101 is a deficient number, since it is larger than the sum of its proper divisors (102138994843419).

212120022112101 is a wasteful number, since it uses less digits than its factorization.

212120022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178308633 (or 178308627 counting only the distinct ones).

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

Adding to 212120022112101 its reverse (101211220021212), we get a palindrome (313331242133313).

The spelling of 212120022112101 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, one hundred twelve thousand, one hundred one".