2001220212133 has 2 divisors, whose sum is σ = 2001220212134. Its totient is φ = 2001220212132.

The previous prime is 2001220212071. The next prime is 2001220212137. The reversal of 2001220212133 is 3312120221002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1632471293124 + 368748919009 = 1277682^2 + 607247^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001220212133 - 2¹⁷ = 2001220081061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001220212133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001220212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000610106066 + 1000610106067.

It is an arithmetic number, because the mean of its divisors is an integer number (1000610106067).

Almost surely, 2^{2001220212133} is an apocalyptic number.

It is an amenable number.

2001220212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001220212133 is an equidigital number, since it uses as much as digits as its factorization.

2001220212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2001220212133 its reverse (3312120221002), we get a palindrome (5313340433135).

The spelling of 2001220212133 in words is "two trillion, one billion, two hundred twenty million, two hundred twelve thousand, one hundred thirty-three".