101263249 has 2 divisors, whose sum is σ = 101263250. Its totient is φ = 101263248.

The previous prime is 101263243. The next prime is 101263277. The reversal of 101263249 is 942362101.

It is an a-pointer prime, because the next prime (101263277) can be obtained adding 101263249 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75690000 + 25573249 = 8700^2 + 5057^2 .

It is a cyclic number.

It is not a de Polignac number, because 101263249 - 2¹¹ = 101261201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101263243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50631624 + 50631625.

It is an arithmetic number, because the mean of its divisors is an integer number (50631625).

Almost surely, 2^101263249 is an apocalyptic number.

It is an amenable number.

101263249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101263249 is an equidigital number, since it uses as much as digits as its factorization.

101263249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 101263249 is about 10062.9642253165. The cubic root of 101263249 is about 466.1052047464.

It can be divided in two parts, 1012 and 63249, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 101263249 in words is "one hundred one million, two hundred sixty-three thousand, two hundred forty-nine".