101102100032 has 28 divisors (see below), whose sum is σ = 200636116380. Its totient is φ = 50548118016.

The previous prime is 101102100013. The next prime is 101102100083. The reversal of 101102100032 is 230001201101.

It can be written as a sum of positive squares in 2 ways, for example, as 52448328256 + 48653771776 = 229016^2 + 220576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101102099986 and 101102100022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1439558 + ... + 1508154.

It is an arithmetic number, because the mean of its divisors is an integer number (7165575585).

Almost surely, 2^101102100032 is an apocalyptic number.

It is an amenable number.

101102100032 is a deficient number, since it is larger than the sum of its proper divisors (99534016348).

101102100032 is an equidigital number, since it uses as much as digits as its factorization.

101102100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91638 (or 91628 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101102100032 its reverse (230001201101), we get a palindrome (331103301133).

The spelling of 101102100032 in words is "one hundred one billion, one hundred two million, one hundred thousand, thirty-two".