101123131443204 has 288 divisors, whose sum is σ = 260445754598400. Its totient is φ = 30519000145920.

The previous prime is 101123131443197. The next prime is 101123131443209. The reversal of 101123131443204 is 402344131321101.

It is not an unprimeable number, because it can be changed into a prime (101123131443209) 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 95 ways as a sum of consecutive naturals, for example, 14956827184 + ... + 14956833944.

It is an arithmetic number, because the mean of its divisors is an integer number (904325536800).

Almost surely, 2^{101123131443204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123131443204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130222877299200).

101123131443204 is an abundant number, since it is smaller than the sum of its proper divisors (159322623155196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101123131443204 is a wasteful number, since it uses less digits than its factorization.

101123131443204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101123131443204 its reverse (402344131321101), we get a palindrome (503467262764305).

The spelling of 101123131443204 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred thirty-one million, four hundred forty-three thousand, two hundred four".