101200041 has 6 divisors (see below), whose sum is σ = 146177850. Its totient is φ = 67466688.

The previous prime is 101200007. The next prime is 101200051. The reversal of 101200041 is 140002101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 45846441 = 7440^2 + 6771^2 .

It is not a de Polignac number, because 101200041 - 2⁷ = 101199913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11244449 = 101200041 / (1 + 0 + 1 + 2 + 0 + 0 + 0 + 4 + 1).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101199996 and 101200032.

It is not an unprimeable number, because it can be changed into a prime (101200051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5622216 + ... + 5622233.

It is an arithmetic number, because the mean of its divisors is an integer number (24362975).

Almost surely, 2^101200041 is an apocalyptic number.

It is an amenable number.

101200041 is a deficient number, since it is larger than the sum of its proper divisors (44977809).

101200041 is a wasteful number, since it uses less digits than its factorization.

101200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244455 (or 11244452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101200041 is about 10059.8231097768. The cubic root of 101200041 is about 466.0082044028.

Adding to 101200041 its reverse (140002101), we get a palindrome (241202142).

The spelling of 101200041 in words is "one hundred one million, two hundred thousand, forty-one".