100123023320100 has 432 divisors, whose sum is σ = 351657039342336. Its totient is φ = 23613285888000.

The previous prime is 100123023320081. The next prime is 100123023320153. The reversal of 100123023320100 is 1023320321001.

100123023320100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 230 + 2 + 332 + 0 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4659691557 + ... + 4659713043.

Almost surely, 2^{100123023320100} is an apocalyptic number.

100123023320100 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 100123023320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175828519671168).

100123023320100 is an abundant number, since it is smaller than the sum of its proper divisors (251534016022236).

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

100123023320100 is a wasteful number, since it uses less digits than its factorization.

100123023320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34276 (or 34266 counting only the distinct ones).

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

Adding to 100123023320100 its reverse (1023320321001), we get a palindrome (101146343641101).

The spelling of 100123023320100 in words is "one hundred trillion, one hundred twenty-three billion, twenty-three million, three hundred twenty thousand, one hundred".