10001121121349 has 2 divisors, whose sum is σ = 10001121121350. Its totient is φ = 10001121121348.

The previous prime is 10001121121331. The next prime is 10001121121391. The reversal of 10001121121349 is 94312112110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9738188048449 + 262933072900 = 3120607^2 + 512770^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001121121349 - 2⁴⁰ = 8901609493573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001121120349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560560674 + 5000560560675.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560560675).

Almost surely, 2^{10001121121349} is an apocalyptic number.

It is an amenable number.

10001121121349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001121121349 is an equidigital number, since it uses as much as digits as its factorization.

10001121121349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 10001121121349 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty-nine".