2002011101221 has 2 divisors, whose sum is σ = 2002011101222. Its totient is φ = 2002011101220.

The previous prime is 2002011101201. The next prime is 2002011101227. The reversal of 2002011101221 is 1221011102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1020645472900 + 981365628321 = 1010270^2 + 990639^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002011101221 - 2⁷ = 2002011101093 is a prime.

It is a super-2 number, since 2×2002011101221² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002011101227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001005550610 + 1001005550611.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005550611).

Almost surely, 2^{2002011101221} is an apocalyptic number.

It is an amenable number.

2002011101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002011101221 is an equidigital number, since it uses as much as digits as its factorization.

2002011101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2002011101221 its reverse (1221011102002), we get a palindrome (3223022203223).

The spelling of 2002011101221 in words is "two trillion, two billion, eleven million, one hundred one thousand, two hundred twenty-one".