1000001112001 has 2 divisors, whose sum is σ = 1000001112002. Its totient is φ = 1000001112000.

The previous prime is 1000001111999. The next prime is 1000001112013. The reversal of 1000001112001 is 1002111000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999810009025 + 191102976 = 999905^2 + 13824^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000001112001 - 2¹ = 1000001111999 is a prime.

Together with 1000001111999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000001112091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000556000 + 500000556001.

It is an arithmetic number, because the mean of its divisors is an integer number (500000556001).

Almost surely, 2^{1000001112001} is an apocalyptic number.

It is an amenable number.

1000001112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001112001 is an equidigital number, since it uses as much as digits as its factorization.

1000001112001 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 1000001112001 its reverse (1002111000001), we get a palindrome (2002112112002).

The spelling of 1000001112001 in words is "one trillion, one million, one hundred twelve thousand, one".