10102111110001 has 2 divisors, whose sum is σ = 10102111110002. Its totient is φ = 10102111110000.

The previous prime is 10102111109989. The next prime is 10102111110097. The reversal of 10102111110001 is 10001111120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9057782448225 + 1044328661776 = 3009615^2 + 1021924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102111110001 - 2⁵ = 10102111109969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102111110001.

It is not a weakly prime, because it can be changed into another prime (10102111710001) 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, 5051055555000 + 5051055555001.

It is an arithmetic number, because the mean of its divisors is an integer number (5051055555001).

Almost surely, 2^{10102111110001} is an apocalyptic number.

It is an amenable number.

10102111110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102111110001 is an equidigital number, since it uses as much as digits as its factorization.

10102111110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10102111110001 its reverse (10001111120101), we get a palindrome (20103222230102).

It can be divided in two parts, 1010211 and 1110001, that added together give a palindrome (2120212).

The spelling of 10102111110001 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred ten thousand, one".