101010000110021 has 2 divisors, whose sum is σ = 101010000110022. Its totient is φ = 101010000110020.

The previous prime is 101010000110009. The next prime is 101010000110099. The reversal of 101010000110021 is 120011000010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68132230350625 + 32877769759396 = 8254225^2 + 5733914^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000110021 - 2³⁰ = 101008926368197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010000109990 and 101010000110008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000160021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000055010 + 50505000055011.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000055011).

Almost surely, 2^{101010000110021} is an apocalyptic number.

It is an amenable number.

101010000110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000110021 is an equidigital number, since it uses as much as digits as its factorization.

101010000110021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010000110021 its reverse (120011000010101), we get a palindrome (221021000120122).

The spelling of 101010000110021 in words is "one hundred one trillion, ten billion, one hundred ten thousand, twenty-one".