112135021001 has 2 divisors, whose sum is σ = 112135021002. Its totient is φ = 112135021000.

The previous prime is 112135020979. The next prime is 112135021007. The reversal of 112135021001 is 100120531211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84434411776 + 27700609225 = 290576^2 + 166435^2 .

It is a cyclic number.

It is not a de Polignac number, because 112135021001 - 2²² = 112130826697 is a prime.

It is a super-2 number, since 2×112135021001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112135021007) 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, 56067510500 + 56067510501.

It is an arithmetic number, because the mean of its divisors is an integer number (56067510501).

Almost surely, 2^112135021001 is an apocalyptic number.

It is an amenable number.

112135021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112135021001 is an equidigital number, since it uses as much as digits as its factorization.

112135021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 112135021001 its reverse (100120531211), we get a palindrome (212255552212).

The spelling of 112135021001 in words is "one hundred twelve billion, one hundred thirty-five million, twenty-one thousand, one".