10100006000641 has 2 divisors, whose sum is σ = 10100006000642. Its totient is φ = 10100006000640.

The previous prime is 10100006000639. The next prime is 10100006000647. The reversal of 10100006000641 is 14600060000101.

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., 9799779811600 + 300226189041 = 3130460^2 + 547929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100006000641 - 2¹ = 10100006000639 is a prime.

Together with 10100006000639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100006000647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050003000320 + 5050003000321.

It is an arithmetic number, because the mean of its divisors is an integer number (5050003000321).

Almost surely, 2^{10100006000641} is an apocalyptic number.

It is an amenable number.

10100006000641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100006000641 is an equidigital number, since it uses as much as digits as its factorization.

10100006000641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10100006000641 its reverse (14600060000101), we get a palindrome (24700066000742).

The spelling of 10100006000641 in words is "ten trillion, one hundred billion, six million, six hundred forty-one", and thus it is an aban number.