20100112001 has 2 divisors, whose sum is σ = 20100112002. Its totient is φ = 20100112000.

The previous prime is 20100111949. The next prime is 20100112033. The reversal of 20100112001 is 10021100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17010419776 + 3089692225 = 130424^2 + 55585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100112001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20100112001.

It is not a weakly prime, because it can be changed into another prime (20100112051) 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, 10050056000 + 10050056001.

It is an arithmetic number, because the mean of its divisors is an integer number (10050056001).

Almost surely, 2^20100112001 is an apocalyptic number.

It is an amenable number.

20100112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100112001 is an equidigital number, since it uses as much as digits as its factorization.

20100112001 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 20100112001 its reverse (10021100102), we get a palindrome (30121212103).

The spelling of 20100112001 in words is "twenty billion, one hundred million, one hundred twelve thousand, one".