101007041 has 2 divisors, whose sum is σ = 101007042. Its totient is φ = 101007040.

The previous prime is 101007031. The next prime is 101007061. The reversal of 101007041 is 140700101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89851441 + 11155600 = 9479^2 + 3340^2 .

It is an emirp because it is prime and its reverse (140700101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101007041 - 2⁶ = 101006977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101007031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503520 + 50503521.

It is an arithmetic number, because the mean of its divisors is an integer number (50503521).

Almost surely, 2^101007041 is an apocalyptic number.

It is an amenable number.

101007041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101007041 is an equidigital number, since it uses as much as digits as its factorization.

101007041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 101007041 is about 10050.2259178588. The cubic root of 101007041 is about 465.7117723124.

Adding to 101007041 its reverse (140700101), we get a palindrome (241707142).

The spelling of 101007041 in words is "one hundred one million, seven thousand, forty-one".