101535541 has 2 divisors, whose sum is σ = 101535542. Its totient is φ = 101535540.

The previous prime is 101535457. The next prime is 101535559. The reversal of 101535541 is 145535101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85100625 + 16434916 = 9225^2 + 4054^2 .

It is an emirp because it is prime and its reverse (145535101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101535541 - 2¹¹ = 101533493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101535241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50767770 + 50767771.

It is an arithmetic number, because the mean of its divisors is an integer number (50767771).

Almost surely, 2^101535541 is an apocalyptic number.

It is an amenable number.

101535541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101535541 is an equidigital number, since it uses as much as digits as its factorization.

101535541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 101535541 is about 10076.4845556374. The cubic root of 101535541 is about 466.5226089927.

The spelling of 101535541 in words is "one hundred one million, five hundred thirty-five thousand, five hundred forty-one".