101123303120 has 120 divisors (see below), whose sum is σ = 274509358848. Its totient is φ = 34542547200.

The previous prime is 101123303111. The next prime is 101123303129. The reversal of 101123303120 is 21303321101.

It is an interprime number because it is at equal distance from previous prime (101123303111) and next prime (101123303129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014725 + ... + 1109915.

Almost surely, 2^101123303120 is an apocalyptic number.

101123303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137254679424).

101123303120 is an abundant number, since it is smaller than the sum of its proper divisors (173386055728).

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

101123303120 is a wasteful number, since it uses less digits than its factorization.

101123303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95489 (or 95476 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101123303120 its reverse (21303321101), we get a palindrome (122426624221).

The spelling of 101123303120 in words is "one hundred one billion, one hundred twenty-three million, three hundred three thousand, one hundred twenty".