10010112001 has 2 divisors, whose sum is σ = 10010112002. Its totient is φ = 10010112000.

The previous prime is 10010111971. The next prime is 10010112031. The reversal of 10010112001 is 10021101001.

It is a balanced prime because it is at equal distance from previous prime (10010111971) and next prime (10010112031).

It can be written as a sum of positive squares in only one way, i.e., 7161221376 + 2848890625 = 84624^2 + 53375^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010112001 - 2⁷ = 10010111873 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010112031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005056000 + 5005056001.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056001).

Almost surely, 2^10010112001 is an apocalyptic number.

It is an amenable number.

10010112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010112001 is an equidigital number, since it uses as much as digits as its factorization.

10010112001 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 7.

Adding to 10010112001 its reverse (10021101001), we get a palindrome (20031213002).

The spelling of 10010112001 in words is "ten billion, ten million, one hundred twelve thousand, one".