101023032329 has 2 divisors, whose sum is σ = 101023032330. Its totient is φ = 101023032328.

The previous prime is 101023032289. The next prime is 101023032337. The reversal of 101023032329 is 923230320101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94050782329 + 6972250000 = 306677^2 + 83500^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023032329 - 2¹² = 101023028233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101023032298 and 101023032307.

It is not a weakly prime, because it can be changed into another prime (101023032349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511516164 + 50511516165.

It is an arithmetic number, because the mean of its divisors is an integer number (50511516165).

Almost surely, 2^101023032329 is an apocalyptic number.

It is an amenable number.

101023032329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023032329 is an equidigital number, since it uses as much as digits as its factorization.

101023032329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 101023032329 in words is "one hundred one billion, twenty-three million, thirty-two thousand, three hundred twenty-nine".