101003112000221 has 2 divisors, whose sum is σ = 101003112000222. Its totient is φ = 101003112000220.

The previous prime is 101003112000181. The next prime is 101003112000233. The reversal of 101003112000221 is 122000211300101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95632537497721 + 5370574502500 = 9779189^2 + 2317450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101003112000221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101003112000196 and 101003112000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003112000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501556000110 + 50501556000111.

It is an arithmetic number, because the mean of its divisors is an integer number (50501556000111).

Almost surely, 2^{101003112000221} is an apocalyptic number.

It is an amenable number.

101003112000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003112000221 is an equidigital number, since it uses as much as digits as its factorization.

101003112000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101003112000221 its reverse (122000211300101), we get a palindrome (223003323300322).

The spelling of 101003112000221 in words is "one hundred one trillion, three billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.