212001100101 has 24 divisors (see below), whose sum is σ = 350010662144. Its totient is φ = 121129434720.

The previous prime is 212001100081. The next prime is 212001100139. The reversal of 212001100101 is 101001100212.

It is a happy number.

It is not a de Polignac number, because 212001100101 - 2¹⁴ = 212001083717 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364980 + ... + 746466.

Almost surely, 2^212001100101 is an apocalyptic number.

212001100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212001100101 is a deficient number, since it is larger than the sum of its proper divisors (138009562043).

212001100101 is a wasteful number, since it uses less digits than its factorization.

212001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390321 (or 390318 counting only the distinct ones).

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

Adding to 212001100101 its reverse (101001100212), we get a palindrome (313002200313).

The spelling of 212001100101 in words is "two hundred twelve billion, one million, one hundred thousand, one hundred one".