101201120249 has 2 divisors, whose sum is σ = 101201120250. Its totient is φ = 101201120248.

The previous prime is 101201120243. The next prime is 101201120263. The reversal of 101201120249 is 942021102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54093456400 + 47107663849 = 232580^2 + 217043^2 .

It is an emirp because it is prime and its reverse (942021102101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101201120249 - 2¹² = 101201116153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201120243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600560124 + 50600560125.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560125).

Almost surely, 2^101201120249 is an apocalyptic number.

It is an amenable number.

101201120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201120249 is an equidigital number, since it uses as much as digits as its factorization.

101201120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 101201120249 in words is "one hundred one billion, two hundred one million, one hundred twenty thousand, two hundred forty-nine".