112001010001 has 2 divisors, whose sum is σ = 112001010002. Its totient is φ = 112001010000.

The previous prime is 112001009983. The next prime is 112001010007. The reversal of 112001010001 is 100010100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93721699600 + 18279310401 = 306140^2 + 135201^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001010001 - 2¹³ = 112001001809 is a prime.

It is not a weakly prime, because it can be changed into another prime (112001010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000505000 + 56000505001.

It is an arithmetic number, because the mean of its divisors is an integer number (56000505001).

Almost surely, 2^112001010001 is an apocalyptic number.

It is an amenable number.

112001010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001010001 is an equidigital number, since it uses as much as digits as its factorization.

112001010001 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 112001010001 its reverse (100010100211), we get a palindrome (212011110212).

It can be divided in two parts, 11200 and 1010001, that added together give a palindrome (1021201).

The spelling of 112001010001 in words is "one hundred twelve billion, one million, ten thousand, one".