212111100201 has 96 divisors (see below), whose sum is σ = 393273474048. Its totient is φ = 98203150080.

The previous prime is 212111100151. The next prime is 212111100247. The reversal of 212111100201 is 102001111212.

It is not a de Polignac number, because 212111100201 - 2⁷ = 212111100073 is a prime.

It is a super-2 number, since 2×212111100201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212111100101) 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 95 ways as a sum of consecutive naturals, for example, 2483530 + ... + 2567516.

It is an arithmetic number, because the mean of its divisors is an integer number (4096598688).

Almost surely, 2^212111100201 is an apocalyptic number.

212111100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212111100201 is a deficient number, since it is larger than the sum of its proper divisors (181162373847).

212111100201 is a wasteful number, since it uses less digits than its factorization.

212111100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84079 (or 84050 counting only the distinct ones).

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

Adding to 212111100201 its reverse (102001111212), we get a palindrome (314112211413).

The spelling of 212111100201 in words is "two hundred twelve billion, one hundred eleven million, one hundred thousand, two hundred one".