10100010010841 has 2 divisors, whose sum is σ = 10100010010842. Its totient is φ = 10100010010840.

The previous prime is 10100010010837. The next prime is 10100010010843. The reversal of 10100010010841 is 14801001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5190063105241 + 4909946905600 = 2278171^2 + 2215840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010010841 - 2² = 10100010010837 is a prime.

It is a super-4 number, since 4×10100010010841⁴ (a number of 53 digits) contains 4444 as substring.

Together with 10100010010843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100010010843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005005420 + 5050005005421.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005005421).

Almost surely, 2^{10100010010841} is an apocalyptic number.

It is an amenable number.

10100010010841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010010841 is an equidigital number, since it uses as much as digits as its factorization.

10100010010841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10100010010841 its reverse (14801001000101), we get a palindrome (24901011010942).

The spelling of 10100010010841 in words is "ten trillion, one hundred billion, ten million, ten thousand, eight hundred forty-one".