101132420329 has 2 divisors, whose sum is σ = 101132420330. Its totient is φ = 101132420328.

The previous prime is 101132420237. The next prime is 101132420341. The reversal of 101132420329 is 923024231101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99121077225 + 2011343104 = 314835^2 + 44848^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132420329 - 2¹⁷ = 101132289257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101132420297 and 101132420306.

It is not a weakly prime, because it can be changed into another prime (101132420369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566210164 + 50566210165.

It is an arithmetic number, because the mean of its divisors is an integer number (50566210165).

Almost surely, 2^101132420329 is an apocalyptic number.

It is an amenable number.

101132420329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132420329 is an equidigital number, since it uses as much as digits as its factorization.

101132420329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 101132420329 in words is "one hundred one billion, one hundred thirty-two million, four hundred twenty thousand, three hundred twenty-nine".