100123302311100 has 432 divisors, whose sum is σ = 346962682029600. Its totient is φ = 24035705487360.

The previous prime is 100123302311099. The next prime is 100123302311107. The reversal of 100123302311100 is 1113203321001.

100123302311100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 330 + 231 + 1 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123302311107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46421436 + ... + 48530364.

It is an arithmetic number, because the mean of its divisors is an integer number (803154356550).

Almost surely, 2^{100123302311100} is an apocalyptic number.

100123302311100 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 100123302311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173481341014800).

100123302311100 is an abundant number, since it is smaller than the sum of its proper divisors (246839379718500).

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

100123302311100 is a wasteful number, since it uses less digits than its factorization.

100123302311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109102 (or 2109092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100123302311100 its reverse (1113203321001), we get a palindrome (101236505632101).

The spelling of 100123302311100 in words is "one hundred trillion, one hundred twenty-three billion, three hundred two million, three hundred eleven thousand, one hundred".