101001001009949 has 2 divisors, whose sum is σ = 101001001009950. Its totient is φ = 101001001009948.

The previous prime is 101001001009939. The next prime is 101001001010011. The reversal of 101001001009949 is 949900100100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70803305380900 + 30197695629049 = 8414470^2 + 5495243^2 .

It is an emirp because it is prime and its reverse (949900100100101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001001009949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001001009939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500504974 + 50500500504975.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500504975).

Almost surely, 2^{101001001009949} is an apocalyptic number.

It is an amenable number.

101001001009949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001001009949 is an equidigital number, since it uses as much as digits as its factorization.

101001001009949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 101001001009949 in words is "one hundred one trillion, one billion, one million, nine thousand, nine hundred forty-nine".