212210102212101 has 16 divisors (see below), whose sum is σ = 359297527555200. Its totient is φ = 121262915549664.

The previous prime is 212210102212081. The next prime is 212210102212111. The reversal of 212210102212101 is 101212201012212.

212210102212101 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 10 + 221 + 210 + 1 = 666.

It is not a de Polignac number, because 212210102212101 - 2⁷ = 212210102211973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210102212111) 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, 561402386616 + ... + 561402386993.

It is an arithmetic number, because the mean of its divisors is an integer number (22456095472200).

Almost surely, 2^{212210102212101} is an apocalyptic number.

212210102212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212210102212101 is a deficient number, since it is larger than the sum of its proper divisors (147087425343099).

212210102212101 is a wasteful number, since it uses less digits than its factorization.

212210102212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122804773625 (or 1122804773619 counting only the distinct ones).

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

Adding to 212210102212101 its reverse (101212201012212), we get a palindrome (313422303224313).

The spelling of 212210102212101 in words is "two hundred twelve trillion, two hundred ten billion, one hundred two million, two hundred twelve thousand, one hundred one".