100123200303120 has 120 divisors (see below), whose sum is σ = 336362676600600. Its totient is φ = 26690341275648.

The previous prime is 100123200303083. The next prime is 100123200303151. The reversal of 100123200303120 is 21303002321001.

100123200303120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 320 + 0 + 30 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20841343213824 + 79281857089296 = 4565232^2 + 8904036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100123200303093 and 100123200303102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21807205 + ... + 25996164.

It is an arithmetic number, because the mean of its divisors is an integer number (2803022305005).

Almost surely, 2^{100123200303120} is an apocalyptic number.

100123200303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123200303120 is an abundant number, since it is smaller than the sum of its proper divisors (236239476297480).

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

100123200303120 is a wasteful number, since it uses less digits than its factorization.

100123200303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47806297 (or 47806288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100123200303120 its reverse (21303002321001), we get a palindrome (121426202624121).

The spelling of 100123200303120 in words is "one hundred trillion, one hundred twenty-three billion, two hundred million, three hundred three thousand, one hundred twenty".