100001112221009 has 2 divisors, whose sum is σ = 100001112221010. Its totient is φ = 100001112221008.

The previous prime is 100001112220931. The next prime is 100001112221011. The reversal of 100001112221009 is 900122211100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57621337720384 + 42379774500625 = 7590872^2 + 6509975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001112221009 is a prime.

Together with 100001112221011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100001112221089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000556110504 + 50000556110505.

It is an arithmetic number, because the mean of its divisors is an integer number (50000556110505).

Almost surely, 2^{100001112221009} is an apocalyptic number.

It is an amenable number.

100001112221009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001112221009 is an equidigital number, since it uses as much as digits as its factorization.

100001112221009 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 100001112221009 in words is "one hundred trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, nine".