101010010000021 has 2 divisors, whose sum is σ = 101010010000022. Its totient is φ = 101010010000020.

The previous prime is 101010009999919. The next prime is 101010010000121. The reversal of 101010010000021 is 120000010010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62611786643121 + 38398223356900 = 7912761^2 + 6196630^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010000021 - 2³⁵ = 100975650261653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010009999959 and 101010010000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005000010 + 50505005000011.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005000011).

Almost surely, 2^{101010010000021} is an apocalyptic number.

It is an amenable number.

101010010000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010000021 is an equidigital number, since it uses as much as digits as its factorization.

101010010000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010010000021 its reverse (120000010010101), we get a palindrome (221010020010122).

The spelling of 101010010000021 in words is "one hundred one trillion, ten billion, ten million, twenty-one", and thus it is an aban number.