100101109021 has 2 divisors, whose sum is σ = 100101109022. Its totient is φ = 100101109020.

The previous prime is 100101109019. The next prime is 100101109079. The reversal of 100101109021 is 120901101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60265340100 + 39835768921 = 245490^2 + 199589^2 .

It is an emirp because it is prime and its reverse (120901101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101109021 - 2¹ = 100101109019 is a prime.

Together with 100101109019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100101108986 and 100101109004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101149021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050554510 + 50050554511.

It is an arithmetic number, because the mean of its divisors is an integer number (50050554511).

Almost surely, 2^100101109021 is an apocalyptic number.

It is an amenable number.

100101109021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101109021 is an equidigital number, since it uses as much as digits as its factorization.

100101109021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100101109021 in words is "one hundred billion, one hundred one million, one hundred nine thousand, twenty-one".