100102211111009 has 2 divisors, whose sum is σ = 100102211111010. Its totient is φ = 100102211111008.

The previous prime is 100102211111003. The next prime is 100102211111017. The reversal of 100102211111009 is 900111112201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97889197846609 + 2213013264400 = 9893897^2 + 1487620^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102211111009 - 2⁸ = 100102211110753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102211111003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051105555504 + 50051105555505.

It is an arithmetic number, because the mean of its divisors is an integer number (50051105555505).

Almost surely, 2^{100102211111009} is an apocalyptic number.

It is an amenable number.

100102211111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102211111009 is an equidigital number, since it uses as much as digits as its factorization.

100102211111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 100102211111009 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, nine".