212000111001 has 80 divisors (see below), whose sum is σ = 384356016000. Its totient is φ = 113750687232.

The previous prime is 212000110943. The next prime is 212000111017. The reversal of 212000111001 is 100111000212.

It is a happy number.

212000111001 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 212000111001 - 2¹⁸ = 211999848857 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (212000111501) 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 79 ways as a sum of consecutive naturals, for example, 1130275 + ... + 1304423.

It is an arithmetic number, because the mean of its divisors is an integer number (4804450200).

Almost surely, 2^212000111001 is an apocalyptic number.

212000111001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212000111001 is a deficient number, since it is larger than the sum of its proper divisors (172355904999).

212000111001 is a wasteful number, since it uses less digits than its factorization.

212000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174300 (or 174291 counting only the distinct ones).

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

Adding to 212000111001 its reverse (100111000212), we get a palindrome (312111111213).

The spelling of 212000111001 in words is "two hundred twelve billion, one hundred eleven thousand, one".