100001101009 has 2 divisors, whose sum is σ = 100001101010. Its totient is φ = 100001101008.

The previous prime is 100001100961. The next prime is 100001101027. The reversal of 100001101009 is 900101100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80728720384 + 19272380625 = 284128^2 + 138825^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001101009 - 2¹¹ = 100001098961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001101009.

It is not a weakly prime, because it can be changed into another prime (100001101309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550504 + 50000550505.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550505).

Almost surely, 2^100001101009 is an apocalyptic number.

It is an amenable number.

100001101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101009 is an equidigital number, since it uses as much as digits as its factorization.

100001101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100001101009 in words is "one hundred billion, one million, one hundred one thousand, nine".