101414249 has 2 divisors, whose sum is σ = 101414250. Its totient is φ = 101414248.

The previous prime is 101414233. The next prime is 101414263. The reversal of 101414249 is 942414101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86359849 + 15054400 = 9293^2 + 3880^2 .

It is a cyclic number.

It is not a de Polignac number, because 101414249 - 2⁴ = 101414233 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101414219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50707124 + 50707125.

It is an arithmetic number, because the mean of its divisors is an integer number (50707125).

Almost surely, 2^101414249 is an apocalyptic number.

It is an amenable number.

101414249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101414249 is an equidigital number, since it uses as much as digits as its factorization.

101414249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 101414249 is about 10070.4641898971. The cubic root of 101414249 is about 466.3367692806.

The spelling of 101414249 in words is "one hundred one million, four hundred fourteen thousand, two hundred forty-nine".