101233121012321 has 8 divisors (see below), whose sum is σ = 107205718838184. Its totient is φ = 95262490781440.

The previous prime is 101233121012281. The next prime is 101233121012329. The reversal of 101233121012321 is 123210121332101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20208621160000 + 81024499852321 = 4495400^2 + 9001361^2 .

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-101233121012321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101233121012329) 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, 491792810 + ... + 491998611.

It is an arithmetic number, because the mean of its divisors is an integer number (13400714854773).

Almost surely, 2^{101233121012321} is an apocalyptic number.

It is an amenable number.

101233121012321 is a deficient number, since it is larger than the sum of its proper divisors (5972597825863).

101233121012321 is an equidigital number, since it uses as much as digits as its factorization.

101233121012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983797491.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101233121012321 its reverse (123210121332101), we get a palindrome (224443242344422).

The spelling of 101233121012321 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty-one million, twelve thousand, three hundred twenty-one".