212120202112101 has 12 divisors (see below), whose sum is σ = 306397831098060. Its totient is φ = 141412552565760.

The previous prime is 212120202112081. The next prime is 212120202112129. The reversal of 212120202112101 is 101211202021212.

212120202112101 is a `hidden beast` number, since 21 + 21 + 202 + 0 + 211 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70169538479076 + 141950663633025 = 8376726^2 + 11914305^2 .

It is not a de Polignac number, because 212120202112101 - 2⁵ = 212120202112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120202112801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74823516 + ... + 77606693.

It is an arithmetic number, because the mean of its divisors is an integer number (25533152591505).

Almost surely, 2^{212120202112101} is an apocalyptic number.

It is an amenable number.

212120202112101 is a deficient number, since it is larger than the sum of its proper divisors (94277628985959).

212120202112101 is a wasteful number, since it uses less digits than its factorization.

212120202112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152584836 (or 152584833 counting only the distinct ones).

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

Adding to 212120202112101 its reverse (101211202021212), we get a palindrome (313331404133313).

The spelling of 212120202112101 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred two million, one hundred twelve thousand, one hundred one".