101066102021 has 2 divisors, whose sum is σ = 101066102022. Its totient is φ = 101066102020.

The previous prime is 101066101999. The next prime is 101066102047. The reversal of 101066102021 is 120201660101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78876722500 + 22189379521 = 280850^2 + 148961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101066102021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101066101984 and 101066102002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101066102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50533051010 + 50533051011.

It is an arithmetic number, because the mean of its divisors is an integer number (50533051011).

Almost surely, 2^101066102021 is an apocalyptic number.

It is an amenable number.

101066102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101066102021 is an equidigital number, since it uses as much as digits as its factorization.

101066102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101066102021 its reverse (120201660101), we get a palindrome (221267762122).

The spelling of 101066102021 in words is "one hundred one billion, sixty-six million, one hundred two thousand, twenty-one".