101135249 has 2 divisors, whose sum is σ = 101135250. Its totient is φ = 101135248.

The previous prime is 101135213. The next prime is 101135257. The reversal of 101135249 is 942531101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55234624 + 45900625 = 7432^2 + 6775^2 .

It is an emirp because it is prime and its reverse (942531101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101135249 - 2⁸ = 101134993 is a prime.

It is a super-3 number, since 3×101135249³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101135449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50567624 + 50567625.

It is an arithmetic number, because the mean of its divisors is an integer number (50567625).

Almost surely, 2^101135249 is an apocalyptic number.

It is an amenable number.

101135249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101135249 is an equidigital number, since it uses as much as digits as its factorization.

101135249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 101135249 is about 10056.6022592126. The cubic root of 101135249 is about 465.9087312891.

The spelling of 101135249 in words is "one hundred one million, one hundred thirty-five thousand, two hundred forty-nine".