112001001001 has 2 divisors, whose sum is σ = 112001001002. Its totient is φ = 112001001000.

The previous prime is 112001000999. The next prime is 112001001011. The reversal of 112001001001 is 100100100211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109363151401 + 2637849600 = 330701^2 + 51360^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001001001 - 2¹ = 112001000999 is a prime.

Together with 112001000999, it forms a pair of twin primes.

112001001001 is a modest number, since divided by 1001001 gives 112 as remainder.

It is not a weakly prime, because it can be changed into another prime (112001001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000500500 + 56000500501.

It is an arithmetic number, because the mean of its divisors is an integer number (56000500501).

Almost surely, 2^112001001001 is an apocalyptic number.

It is an amenable number.

112001001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001001001 is an equidigital number, since it uses as much as digits as its factorization.

112001001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 112001001001 its reverse (100100100211), we get a palindrome (212101101212).

The spelling of 112001001001 in words is "one hundred twelve billion, one million, one thousand, one".