112201000112009 has 2 divisors, whose sum is σ = 112201000112010. Its totient is φ = 112201000112008.

The previous prime is 112201000111861. The next prime is 112201000112021. The reversal of 112201000112009 is 900211000102211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108326401552009 + 3874598560000 = 10407997^2 + 1968400^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201000112009 - 2¹² = 112201000107913 is a prime.

It is a super-2 number, since 2×112201000112009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112201000112099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100500056004 + 56100500056005.

It is an arithmetic number, because the mean of its divisors is an integer number (56100500056005).

Almost surely, 2^{112201000112009} is an apocalyptic number.

It is an amenable number.

112201000112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201000112009 is an equidigital number, since it uses as much as digits as its factorization.

112201000112009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 112201000112009 in words is "one hundred twelve trillion, two hundred one billion, one hundred twelve thousand, nine".