1321010101 has 2 divisors, whose sum is σ = 1321010102. Its totient is φ = 1321010100.

The previous prime is 1321010081. The next prime is 1321010111. The reversal of 1321010101 is 1010101231.

It is an a-pointer prime, because the next prime (1321010111) can be obtained adding 1321010101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1320959025 + 51076 = 36345^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321010101 - 2¹⁹ = 1320485813 is a prime.

1321010101 is a modest number, since divided by 10101 gives 1321 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1321010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660505050 + 660505051.

It is an arithmetic number, because the mean of its divisors is an integer number (660505051).

Almost surely, 2^1321010101 is an apocalyptic number.

It is an amenable number.

1321010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321010101 is an equidigital number, since it uses as much as digits as its factorization.

1321010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1321010101 is about 36345.7026483187. The cubic root of 1321010101 is about 1097.2410476587.

Adding to 1321010101 its reverse (1010101231), we get a palindrome (2331111332).

The spelling of 1321010101 in words is "one billion, three hundred twenty-one million, ten thousand, one hundred one".