101331202021129 has 2 divisors, whose sum is σ = 101331202021130. Its totient is φ = 101331202021128.

The previous prime is 101331202021009. The next prime is 101331202021151. The reversal of 101331202021129 is 921120202133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62913022923529 + 38418179097600 = 7931773^2 + 6198240^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331202021129 - 2¹⁷ = 101331201890057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331202021097 and 101331202021106.

It is not a weakly prime, because it can be changed into another prime (101331202025129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665601010564 + 50665601010565.

It is an arithmetic number, because the mean of its divisors is an integer number (50665601010565).

Almost surely, 2^{101331202021129} is an apocalyptic number.

It is an amenable number.

101331202021129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331202021129 is an equidigital number, since it uses as much as digits as its factorization.

101331202021129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 101331202021129 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-one thousand, one hundred twenty-nine".