101010122221301 has 2 divisors, whose sum is σ = 101010122221302. Its totient is φ = 101010122221300.

The previous prime is 101010122221297. The next prime is 101010122221343. The reversal of 101010122221301 is 103122221010101.

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., 69647870980900 + 31362251240401 = 8345530^2 + 5600201^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010122221301 - 2² = 101010122221297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010122221301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010122221391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505061110650 + 50505061110651.

It is an arithmetic number, because the mean of its divisors is an integer number (50505061110651).

Almost surely, 2^{101010122221301} is an apocalyptic number.

It is an amenable number.

101010122221301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010122221301 is an equidigital number, since it uses as much as digits as its factorization.

101010122221301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101010122221301 its reverse (103122221010101), we get a palindrome (204132343231402).

The spelling of 101010122221301 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred one".