101321123101 has 8 divisors (see below), whose sum is σ = 110537244000. Its totient is φ = 92105853840.

The previous prime is 101321123081. The next prime is 101321123147.

It is a happy number.

101321123101 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2^k-101321123101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321124101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49975 + ... + 452923.

It is an arithmetic number, because the mean of its divisors is an integer number (13817155500).

Almost surely, 2^101321123101 is an apocalyptic number.

101321123101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101321123101 is a deficient number, since it is larger than the sum of its proper divisors (9216120899).

101321123101 is a wasteful number, since it uses less digits than its factorization.

101321123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425819.

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

It can be divided in two parts, 101321 and 123101, that added together give a palindrome (224422).

The spelling of 101321123101 in words is "one hundred one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred one".