212211100102001 has 64 divisors (see below), whose sum is σ = 305936308371456. Its totient is φ = 141637178188800.

The previous prime is 212211100101997. The next prime is 212211100102003. The reversal of 212211100102001 is 100201001112212.

It is not a de Polignac number, because 212211100102001 - 2² = 212211100101997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212211100102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86612465 + ... + 89028878.

It is an arithmetic number, because the mean of its divisors is an integer number (4780254818304).

Almost surely, 2^{212211100102001} is an apocalyptic number.

It is an amenable number.

212211100102001 is a deficient number, since it is larger than the sum of its proper divisors (93725208269455).

212211100102001 is a wasteful number, since it uses less digits than its factorization.

212211100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175641462.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212211100102001 its reverse (100201001112212), we get a palindrome (312412101214213).

The spelling of 212211100102001 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred million, one hundred two thousand, one".