100105005550021 has 2 divisors, whose sum is σ = 100105005550022. Its totient is φ = 100105005550020.

The previous prime is 100105005550009. The next prime is 100105005550087. The reversal of 100105005550021 is 120055500501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57800895236100 + 42304110313921 = 7602690^2 + 6504161^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105005550021 - 2¹⁷ = 100105005418949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105005650021) 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, 50052502775010 + 50052502775011.

It is an arithmetic number, because the mean of its divisors is an integer number (50052502775011).

Almost surely, 2^{100105005550021} is an apocalyptic number.

It is an amenable number.

100105005550021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105005550021 is an equidigital number, since it uses as much as digits as its factorization.

100105005550021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1250, while the sum is 25.

The spelling of 100105005550021 in words is "one hundred trillion, one hundred five billion, five million, five hundred fifty thousand, twenty-one".