212120331133001 has 64 divisors (see below), whose sum is σ = 224472740659200. Its totient is φ = 200199088857600.

The previous prime is 212120331132991. The next prime is 212120331133003. The reversal of 212120331133001 is 100331133021212.

It is a cyclic number.

It is not a de Polignac number, because 212120331133001 - 2¹⁸ = 212120330870857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212120331133003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89013985856 + ... + 89013988238.

It is an arithmetic number, because the mean of its divisors is an integer number (3507386572800).

Almost surely, 2^{212120331133001} is an apocalyptic number.

It is an amenable number.

212120331133001 is a deficient number, since it is larger than the sum of its proper divisors (12352409526199).

212120331133001 is a wasteful number, since it uses less digits than its factorization.

212120331133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 212120331133001 its reverse (100331133021212), we get a palindrome (312451464154213).

The spelling of 212120331133001 in words is "two hundred twelve trillion, one hundred twenty billion, three hundred thirty-one million, one hundred thirty-three thousand, one".