212101100001 has 48 divisors (see below), whose sum is σ = 359390304000. Its totient is φ = 118008714240.

The previous prime is 212101099909. The next prime is 212101100021. The reversal of 212101100001 is 100001101212.

It is a happy number.

212101100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212101100001 - 2¹³ = 212101091809 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212101100021) 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 47 ways as a sum of consecutive naturals, for example, 1217625 + ... + 1380873.

It is an arithmetic number, because the mean of its divisors is an integer number (7487298000).

Almost surely, 2^212101100001 is an apocalyptic number.

212101100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212101100001 is a deficient number, since it is larger than the sum of its proper divisors (147289203999).

212101100001 is a wasteful number, since it uses less digits than its factorization.

212101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163806 (or 163803 counting only the distinct ones).

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

Adding to 212101100001 its reverse (100001101212), we get a palindrome (312102201213).

It can be divided in two parts, 21210 and 1100001, that added together give a palindrome (1121211).

The spelling of 212101100001 in words is "two hundred twelve billion, one hundred one million, one hundred thousand, one".