212000100100101 has 20 divisors (see below), whose sum is σ = 316692164946432. Its totient is φ = 141333106686408.

The previous prime is 212000100100039. The next prime is 212000100100177. The reversal of 212000100100101 is 101001001000212.

It is a happy number.

It is not a de Polignac number, because 212000100100101 - 2⁹ = 212000100099589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000100120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40827580 + ... + 45726266.

Almost surely, 2^{212000100100101} is an apocalyptic number.

It is an amenable number.

212000100100101 is a deficient number, since it is larger than the sum of its proper divisors (104692064846331).

212000100100101 is an equidigital number, since it uses as much as digits as its factorization.

212000100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432982 (or 5432973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212000100100101 its reverse (101001001000212), we get a palindrome (313001101100313).

The spelling of 212000100100101 in words is "two hundred twelve trillion, one hundred million, one hundred thousand, one hundred one".