10020112000001 has 2 divisors, whose sum is σ = 10020112000002. Its totient is φ = 10020112000000.

The previous prime is 10020111999941. The next prime is 10020112000007. The reversal of 10020112000001 is 10000021102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9258723124225 + 761388875776 = 3042815^2 + 872576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10020112000001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10020112000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010056000000 + 5010056000001.

It is an arithmetic number, because the mean of its divisors is an integer number (5010056000001).

Almost surely, 2^{10020112000001} is an apocalyptic number.

It is an amenable number.

10020112000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020112000001 is an equidigital number, since it uses as much as digits as its factorization.

10020112000001 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 8.

Adding to 10020112000001 its reverse (10000021102001), we get a palindrome (20020133102002).

The spelling of 10020112000001 in words is "ten trillion, twenty billion, one hundred twelve million, one", and thus it is an aban number.