100123011332120 has 192 divisors, whose sum is σ = 269009118403200. Its totient is φ = 33429062983680.

The previous prime is 100123011332119. The next prime is 100123011332143. The reversal of 100123011332120 is 21233110321001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100123011332092 and 100123011332101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6874400 + ... + 15732240.

It is an arithmetic number, because the mean of its divisors is an integer number (1401089158350).

Almost surely, 2^{100123011332120} is an apocalyptic number.

100123011332120 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 100123011332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134504559201600).

100123011332120 is an abundant number, since it is smaller than the sum of its proper divisors (168886107071080).

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

100123011332120 is a wasteful number, since it uses less digits than its factorization.

100123011332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858018 (or 8858007 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100123011332120 its reverse (21233110321001), we get a palindrome (121356121653121).

The spelling of 100123011332120 in words is "one hundred trillion, one hundred twenty-three billion, eleven million, three hundred thirty-two thousand, one hundred twenty".