212210212011001 has 8 divisors (see below), whose sum is σ = 212224568487624. Its totient is φ = 212195855984640.

The previous prime is 212210212010933. The next prime is 212210212011071. The reversal of 212210212011001 is 100110212012212.

It can be written as a sum of positive squares in 4 ways, for example, as 52751909828601 + 159458302182400 = 7263051^2 + 12627680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212210212011001 - 2³⁵ = 212175852272633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212210212011071) 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 7 ways as a sum of consecutive naturals, for example, 1754946795 + ... + 1755067711.

It is an arithmetic number, because the mean of its divisors is an integer number (26528071060953).

Almost surely, 2^{212210212011001} is an apocalyptic number.

It is an amenable number.

212210212011001 is a deficient number, since it is larger than the sum of its proper divisors (14356476623).

212210212011001 is a wasteful number, since it uses less digits than its factorization.

212210212011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225131.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212210212011001 its reverse (100110212012212), we get a palindrome (312320424023213).

The spelling of 212210212011001 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twelve million, eleven thousand, one".