210133311211001 has 2 divisors, whose sum is σ = 210133311211002. Its totient is φ = 210133311211000.

The previous prime is 210133311210971. The next prime is 210133311211007. The reversal of 210133311211001 is 100112113331012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121284495029776 + 88848816181225 = 11012924^2 + 9425965^2 .

It is a cyclic number.

It is not a de Polignac number, because 210133311211001 - 2¹⁰ = 210133311209977 is a prime.

It is not a weakly prime, because it can be changed into another prime (210133311211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105066655605500 + 105066655605501.

It is an arithmetic number, because the mean of its divisors is an integer number (105066655605501).

Almost surely, 2^{210133311211001} is an apocalyptic number.

It is an amenable number.

210133311211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210133311211001 is an equidigital number, since it uses as much as digits as its factorization.

210133311211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 210133311211001 its reverse (100112113331012), we get a palindrome (310245424542013).

The spelling of 210133311211001 in words is "two hundred ten trillion, one hundred thirty-three billion, three hundred eleven million, two hundred eleven thousand, one".