101632077829 has 2 divisors, whose sum is σ = 101632077830. Its totient is φ = 101632077828.

The previous prime is 101632077797. The next prime is 101632077863. The reversal of 101632077829 is 928770236101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99543405025 + 2088672804 = 315505^2 + 45702^2 .

It is a cyclic number.

It is not a de Polignac number, because 101632077829 - 2⁵ = 101632077797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101632077229) 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, 50816038914 + 50816038915.

It is an arithmetic number, because the mean of its divisors is an integer number (50816038915).

Almost surely, 2^101632077829 is an apocalyptic number.

It is an amenable number.

101632077829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101632077829 is an equidigital number, since it uses as much as digits as its factorization.

101632077829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 101632077829 in words is "one hundred one billion, six hundred thirty-two million, seventy-seven thousand, eight hundred twenty-nine".