10100111010673 has 2 divisors, whose sum is σ = 10100111010674. Its totient is φ = 10100111010672.

The previous prime is 10100111010611. The next prime is 10100111010677. The reversal of 10100111010673 is 37601011100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9109482948864 + 990628061809 = 3018192^2 + 995303^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111010673 - 2³³ = 10091521076081 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100111010677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055505336 + 5050055505337.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055505337).

Almost surely, 2^{10100111010673} is an apocalyptic number.

It is an amenable number.

10100111010673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111010673 is an equidigital number, since it uses as much as digits as its factorization.

10100111010673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 10100111010673 its reverse (37601011100101), we get a palindrome (47701122110774).

The spelling of 10100111010673 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, six hundred seventy-three".