100100010101009 has 2 divisors, whose sum is σ = 100100010101010. Its totient is φ = 100100010101008.

The previous prime is 100100010100933. The next prime is 100100010101023. The reversal of 100100010101009 is 900101010001001.

It is a happy number.

It is an a-pointer prime, because the next prime (100100010101023) can be obtained adding 100100010101009 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75835795140625 + 24264214960384 = 8708375^2 + 4925872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100010101009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100100010100984 and 100100010101002.

It is not a weakly prime, because it can be changed into another prime (100100010101099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005050504 + 50050005050505.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005050505).

Almost surely, 2^{100100010101009} is an apocalyptic number.

It is an amenable number.

100100010101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010101009 is an equidigital number, since it uses as much as digits as its factorization.

100100010101009 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 14.

The spelling of 100100010101009 in words is "one hundred trillion, one hundred billion, ten million, one hundred one thousand, nine".