2002010101141 has 2 divisors, whose sum is σ = 2002010101142. Its totient is φ = 2002010101140.

The previous prime is 2002010101127. The next prime is 2002010101151. The reversal of 2002010101141 is 1411010102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1399323384900 + 602686716241 = 1182930^2 + 776329^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002010101141 - 2³⁵ = 1967650362773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002010101151) 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, 1001005050570 + 1001005050571.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005050571).

Almost surely, 2^{2002010101141} is an apocalyptic number.

It is an amenable number.

2002010101141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002010101141 is an equidigital number, since it uses as much as digits as its factorization.

2002010101141 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 2002010101141 its reverse (1411010102002), we get a palindrome (3413020203143).

The spelling of 2002010101141 in words is "two trillion, two billion, ten million, one hundred one thousand, one hundred forty-one".