100110021002021 has 2 divisors, whose sum is σ = 100110021002022. Its totient is φ = 100110021002020.

The previous prime is 100110021002011. The next prime is 100110021002039. The reversal of 100110021002021 is 120200120011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62730993684100 + 37379027317921 = 7920290^2 + 6113839^2 .

It is an emirp because it is prime and its reverse (120200120011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110021002021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110021001993 and 100110021002011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110021002011) 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, 50055010501010 + 50055010501011.

It is an arithmetic number, because the mean of its divisors is an integer number (50055010501011).

Almost surely, 2^{100110021002021} is an apocalyptic number.

It is an amenable number.

100110021002021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110021002021 is an equidigital number, since it uses as much as digits as its factorization.

100110021002021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110021002021 its reverse (120200120011001), we get a palindrome (220310141013022).

The spelling of 100110021002021 in words is "one hundred trillion, one hundred ten billion, twenty-one million, two thousand, twenty-one".