101416253 has 2 divisors, whose sum is σ = 101416254. Its totient is φ = 101416252.

The previous prime is 101416241. The next prime is 101416267. The reversal of 101416253 is 352614101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83960569 + 17455684 = 9163^2 + 4178^2 .

It is a cyclic number.

It is not a de Polignac number, because 101416253 - 2²⁶ = 34307389 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101416153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50708126 + 50708127.

It is an arithmetic number, because the mean of its divisors is an integer number (50708127).

Almost surely, 2^101416253 is an apocalyptic number.

It is an amenable number.

101416253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101416253 is an equidigital number, since it uses as much as digits as its factorization.

101416253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 101416253 is about 10070.5636882947. The cubic root of 101416253 is about 466.3398409486.

The spelling of 101416253 in words is "one hundred one million, four hundred sixteen thousand, two hundred fifty-three".