10002111012001 has 2 divisors, whose sum is σ = 10002111012002. Its totient is φ = 10002111012000.

The previous prime is 10002111011989. The next prime is 10002111012139. The reversal of 10002111012001 is 10021011120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8940698010000 + 1061413002001 = 2990100^2 + 1030249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111012001 - 2⁵ = 10002111011969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002111012301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055506000 + 5001055506001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055506001).

Almost surely, 2^{10002111012001} is an apocalyptic number.

It is an amenable number.

10002111012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111012001 is an equidigital number, since it uses as much as digits as its factorization.

10002111012001 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 10002111012001 its reverse (10021011120001), we get a palindrome (20023122132002).

The spelling of 10002111012001 in words is "ten trillion, two billion, one hundred eleven million, twelve thousand, one".