101014001741 has 2 divisors, whose sum is σ = 101014001742. Its totient is φ = 101014001740.

The previous prime is 101014001719. The next prime is 101014001779. The reversal of 101014001741 is 147100410101.

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., 99218700100 + 1795301641 = 314990^2 + 42371^2 .

It is an emirp because it is prime and its reverse (147100410101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101014001741 - 2¹⁸ = 101013739597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507000870 + 50507000871.

It is an arithmetic number, because the mean of its divisors is an integer number (50507000871).

Almost surely, 2^101014001741 is an apocalyptic number.

It is an amenable number.

101014001741 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014001741 is an equidigital number, since it uses as much as digits as its factorization.

101014001741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 101014001741 its reverse (147100410101), we get a palindrome (248114411842).

The spelling of 101014001741 in words is "one hundred one billion, fourteen million, one thousand, seven hundred forty-one".