10002120880049 has 2 divisors, whose sum is σ = 10002120880050. Its totient is φ = 10002120880048.

The previous prime is 10002120880007. The next prime is 10002120880069. The reversal of 10002120880049 is 94008802120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9981448191649 + 20672688400 = 3159343^2 + 143780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120880049 - 2¹² = 10002120875953 is a prime.

It is a super-2 number, since 2×10002120880049² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002120880069) 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, 5001060440024 + 5001060440025.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060440025).

Almost surely, 2^{10002120880049} is an apocalyptic number.

It is an amenable number.

10002120880049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120880049 is an equidigital number, since it uses as much as digits as its factorization.

10002120880049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 10002120880049 in words is "ten trillion, two billion, one hundred twenty million, eight hundred eighty thousand, forty-nine".