101110132321 has 8 divisors (see below), whose sum is σ = 110304379584. Its totient is φ = 91916287920.

The previous prime is 101110132303. The next prime is 101110132339. The reversal of 101110132321 is 123231011101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101110132303) and next prime (101110132339).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110132321 - 2²⁹ = 100573261409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110132295 and 101110132304.

It is not an unprimeable number, because it can be changed into a prime (101110132121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 702876 + ... + 834418.

It is an arithmetic number, because the mean of its divisors is an integer number (13788047448).

Almost surely, 2^101110132321 is an apocalyptic number.

101110132321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110132321 is a deficient number, since it is larger than the sum of its proper divisors (9194247263).

101110132321 is a wasteful number, since it uses less digits than its factorization.

101110132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201431.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101110132321 its reverse (123231011101), we get a palindrome (224341143422).

The spelling of 101110132321 in words is "one hundred one billion, one hundred ten million, one hundred thirty-two thousand, three hundred twenty-one".