10100111010949 has 2 divisors, whose sum is σ = 10100111010950. Its totient is φ = 10100111010948.

The previous prime is 10100111010947. The next prime is 10100111010967. The reversal of 10100111010949 is 94901011100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6036185628225 + 4063925382724 = 2456865^2 + 2015918^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111010949 - 2¹ = 10100111010947 is a prime.

Together with 10100111010947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111010947) 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, 5050055505474 + 5050055505475.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055505475).

Almost surely, 2^{10100111010949} is an apocalyptic number.

It is an amenable number.

10100111010949 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111010949 is an equidigital number, since it uses as much as digits as its factorization.

10100111010949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 10100111010949 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, nine hundred forty-nine".