10101101249 has 2 divisors, whose sum is σ = 10101101250. Its totient is φ = 10101101248.

The previous prime is 10101101183. The next prime is 10101101251. The reversal of 10101101249 is 94210110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10096230400 + 4870849 = 100480^2 + 2207^2 .

It is an emirp because it is prime and its reverse (94210110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101101249 - 2²⁸ = 9832665793 is a prime.

It is a super-3 number, since 3×10101101249³ (a number of 31 digits) contains 333 as substring.

Together with 10101101251, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101249.

It is not a weakly prime, because it can be changed into another prime (10101101279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550624 + 5050550625.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550625).

Almost surely, 2^10101101249 is an apocalyptic number.

It is an amenable number.

10101101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101249 is an equidigital number, since it uses as much as digits as its factorization.

10101101249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10101101249 in words is "ten billion, one hundred one million, one hundred one thousand, two hundred forty-nine".