101223344332123 has 8 divisors (see below), whose sum is σ = 109009844296416. Its totient is φ = 93436857062400.

The previous prime is 101223344332081. The next prime is 101223344332157. The reversal of 101223344332123 is 321233443322101.

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 101223344332123 - 2¹³ = 101223344323931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101223344332183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19261083 + ... + 23946523.

It is an arithmetic number, because the mean of its divisors is an integer number (13626230537052).

Almost surely, 2^{101223344332123} is an apocalyptic number.

101223344332123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101223344332123 is a deficient number, since it is larger than the sum of its proper divisors (7786499964293).

101223344332123 is a wasteful number, since it uses less digits than its factorization.

101223344332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347285.

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 101223344332123 its reverse (321233443322101), we get a palindrome (422456787654224).

The spelling of 101223344332123 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred forty-four million, three hundred thirty-two thousand, one hundred twenty-three".