100101101010949 has 2 divisors, whose sum is σ = 100101101010950. Its totient is φ = 100101101010948.

The previous prime is 100101101010931. The next prime is 100101101011031. The reversal of 100101101010949 is 949010101101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99909160638849 + 191940372100 = 9995457^2 + 438110^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101101010949 - 2²³ = 100101092622341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101101010349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550505474 + 50050550505475.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550505475).

Almost surely, 2^{100101101010949} is an apocalyptic number.

It is an amenable number.

100101101010949 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101101010949 is an equidigital number, since it uses as much as digits as its factorization.

100101101010949 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 100101101010949 in words is "one hundred trillion, one hundred one billion, one hundred one million, ten thousand, nine hundred forty-nine".