10111120002001 has 2 divisors, whose sum is σ = 10111120002002. Its totient is φ = 10111120002000.

The previous prime is 10111120001891. The next prime is 10111120002017. The reversal of 10111120002001 is 10020002111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10067040579600 + 44079422401 = 3172860^2 + 209951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111120002001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111120002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055560001000 + 5055560001001.

It is an arithmetic number, because the mean of its divisors is an integer number (5055560001001).

Almost surely, 2^{10111120002001} is an apocalyptic number.

It is an amenable number.

10111120002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111120002001 is an equidigital number, since it uses as much as digits as its factorization.

10111120002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111120002001 its reverse (10020002111101), we get a palindrome (20131122113102).

The spelling of 10111120002001 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, two thousand, one".