10001121891149 has 2 divisors, whose sum is σ = 10001121891150. Its totient is φ = 10001121891148.

The previous prime is 10001121891109. The next prime is 10001121891151. The reversal of 10001121891149 is 94119812110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9426189444100 + 574932447049 = 3070210^2 + 758243^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001121891149 - 2³⁶ = 9932402414413 is a prime.

Together with 10001121891151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001121891109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560945574 + 5000560945575.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560945575).

Almost surely, 2^{10001121891149} is an apocalyptic number.

It is an amenable number.

10001121891149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001121891149 is an equidigital number, since it uses as much as digits as its factorization.

10001121891149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 38.

The spelling of 10001121891149 in words is "ten trillion, one billion, one hundred twenty-one million, eight hundred ninety-one thousand, one hundred forty-nine".