2002738108121 has 2 divisors, whose sum is σ = 2002738108122. Its totient is φ = 2002738108120.

The previous prime is 2002738108109. The next prime is 2002738108139. The reversal of 2002738108121 is 1218018372002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1138358829721 + 864379278400 = 1066939^2 + 929720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002738108121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002738128121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001369054060 + 1001369054061.

It is an arithmetic number, because the mean of its divisors is an integer number (1001369054061).

Almost surely, 2^{2002738108121} is an apocalyptic number.

It is an amenable number.

2002738108121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002738108121 is an equidigital number, since it uses as much as digits as its factorization.

2002738108121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 2002738108121 in words is "two trillion, two billion, seven hundred thirty-eight million, one hundred eight thousand, one hundred twenty-one".