100100221009 has 2 divisors, whose sum is σ = 100100221010. Its totient is φ = 100100221008.

The previous prime is 100100220991. The next prime is 100100221033. The reversal of 100100221009 is 900122001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50219465409 + 49880755600 = 224097^2 + 223340^2 .

It is an emirp because it is prime and its reverse (900122001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100221009 - 2⁹ = 100100220497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100220983 and 100100221001.

It is not a weakly prime, because it can be changed into another prime (100100221409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050110504 + 50050110505.

It is an arithmetic number, because the mean of its divisors is an integer number (50050110505).

Almost surely, 2^100100221009 is an apocalyptic number.

It is an amenable number.

100100221009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100221009 is an equidigital number, since it uses as much as digits as its factorization.

100100221009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 100100221009 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand, nine".