10100100041 has 2 divisors, whose sum is σ = 10100100042. Its totient is φ = 10100100040.

The previous prime is 10100100029. The next prime is 10100100079. The reversal of 10100100041 is 14000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8766389641 + 1333710400 = 93629^2 + 36520^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100041 - 2¹⁰ = 10100099017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100190041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050020 + 5050050021.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050021).

Almost surely, 2^10100100041 is an apocalyptic number.

It is an amenable number.

10100100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100041 is an equidigital number, since it uses as much as digits as its factorization.

10100100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100100041 its reverse (14000100101), we get a palindrome (24100200142).

The spelling of 10100100041 in words is "ten billion, one hundred million, one hundred thousand, forty-one".