101331202025129 has 2 divisors, whose sum is σ = 101331202025130. Its totient is φ = 101331202025128.

The previous prime is 101331202025111. The next prime is 101331202025143. The reversal of 101331202025129 is 921520202133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60142429074025 + 41188772951104 = 7755155^2 + 6417848^2 .

It is an emirp because it is prime and its reverse (921520202133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101331202025129 - 2⁸ = 101331202024873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331202025095 and 101331202025104.

It is not a weakly prime, because it can be changed into another prime (101331202021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665601012564 + 50665601012565.

It is an arithmetic number, because the mean of its divisors is an integer number (50665601012565).

Almost surely, 2^{101331202025129} is an apocalyptic number.

It is an amenable number.

101331202025129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331202025129 is an equidigital number, since it uses as much as digits as its factorization.

101331202025129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 101331202025129 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-five thousand, one hundred twenty-nine".