212111210122101 has 64 divisors (see below), whose sum is σ = 321569425612800. Its totient is φ = 138120991656768.

The previous prime is 212111210122067. The next prime is 212111210122109. The reversal of 212111210122101 is 101221012111212.

It is a happy number.

212111210122101 is a `hidden beast` number, since 21 + 211 + 1 + 210 + 1 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 212111210122101 - 2⁷ = 212111210121973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111210122109) 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, 1808699095 + ... + 1808816363.

It is an arithmetic number, because the mean of its divisors is an integer number (5024522275200).

Almost surely, 2^{212111210122101} is an apocalyptic number.

It is an amenable number.

212111210122101 is a deficient number, since it is larger than the sum of its proper divisors (109458215490699).

212111210122101 is a wasteful number, since it uses less digits than its factorization.

212111210122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120175 (or 120169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212111210122101 its reverse (101221012111212), we get a palindrome (313332222233313).

The spelling of 212111210122101 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred one".