101201402101309 has 2 divisors, whose sum is σ = 101201402101310. Its totient is φ = 101201402101308.

The previous prime is 101201402101273. The next prime is 101201402101399. The reversal of 101201402101309 is 903101204102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56266876265625 + 44934525835684 = 7501125^2 + 6703322^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201402101309 - 2¹⁵ = 101201402068541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201402101399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600701050654 + 50600701050655.

It is an arithmetic number, because the mean of its divisors is an integer number (50600701050655).

Almost surely, 2^{101201402101309} is an apocalyptic number.

It is an amenable number.

101201402101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201402101309 is an equidigital number, since it uses as much as digits as its factorization.

101201402101309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 101201402101309 in words is "one hundred one trillion, two hundred one billion, four hundred two million, one hundred one thousand, three hundred nine".