101042567 has 2 divisors, whose sum is σ = 101042568. Its totient is φ = 101042566.

The previous prime is 101042549. The next prime is 101042581. The reversal of 101042567 is 765240101.

It is a strong prime.

It is an emirp because it is prime and its reverse (765240101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101042567 - 2⁸ = 101042311 is a prime.

It is a super-4 number, since 4×101042567⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101042167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50521283 + 50521284.

It is an arithmetic number, because the mean of its divisors is an integer number (50521284).

Almost surely, 2^101042567 is an apocalyptic number.

101042567 is a deficient number, since it is larger than the sum of its proper divisors (1).

101042567 is an equidigital number, since it uses as much as digits as its factorization.

101042567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 101042567 is about 10051.9931854334. The cubic root of 101042567 is about 465.7663656587.

Adding to 101042567 its reverse (765240101), we get a palindrome (866282668).

The spelling of 101042567 in words is "one hundred one million, forty-two thousand, five hundred sixty-seven".