212000010112101 has 8 divisors (see below), whose sum is σ = 282666945007744. Its totient is φ = 141333207645600.

The previous prime is 212000010112067. The next prime is 212000010112103. The reversal of 212000010112101 is 101211010000212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212000010112101 - 2⁷ = 212000010111973 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 (212000010112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29309725 + ... + 35819826.

It is an arithmetic number, because the mean of its divisors is an integer number (35333368125968).

Almost surely, 2^{212000010112101} is an apocalyptic number.

It is an amenable number.

212000010112101 is a deficient number, since it is larger than the sum of its proper divisors (70666934895643).

212000010112101 is a wasteful number, since it uses less digits than its factorization.

212000010112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66214571.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212000010112101 its reverse (101211010000212), we get a palindrome (313211020112313).

The spelling of 212000010112101 in words is "two hundred twelve trillion, ten million, one hundred twelve thousand, one hundred one".