201031120120249 has 2 divisors, whose sum is σ = 201031120120250. Its totient is φ = 201031120120248.

The previous prime is 201031120120147. The next prime is 201031120120261. The reversal of 201031120120249 is 942021021130102.

201031120120249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200137467530025 + 893652590224 = 14146995^2 + 945332^2 .

It is a cyclic number.

It is not a de Polignac number, because 201031120120249 - 2¹³ = 201031120112057 is a prime.

It is a super-2 number, since 2×201031120120249² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201031120520249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100515560060124 + 100515560060125.

It is an arithmetic number, because the mean of its divisors is an integer number (100515560060125).

Almost surely, 2^{201031120120249} is an apocalyptic number.

It is an amenable number.

201031120120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

201031120120249 is an equidigital number, since it uses as much as digits as its factorization.

201031120120249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 201031120120249 in words is "two hundred one trillion, thirty-one billion, one hundred twenty million, one hundred twenty thousand, two hundred forty-nine".