2002101134849 has 2 divisors, whose sum is σ = 2002101134850. Its totient is φ = 2002101134848.

The previous prime is 2002101134833. The next prime is 2002101134857. The reversal of 2002101134849 is 9484311012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1253183974849 + 748917160000 = 1119457^2 + 865400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002101134849 - 2⁴ = 2002101134833 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002101130849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001050567424 + 1001050567425.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050567425).

Almost surely, 2^{2002101134849} is an apocalyptic number.

It is an amenable number.

2002101134849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002101134849 is an equidigital number, since it uses as much as digits as its factorization.

2002101134849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 2002101134849 in words is "two trillion, two billion, one hundred one million, one hundred thirty-four thousand, eight hundred forty-nine".