100323133010100 has 3456 divisors, whose sum is σ = 474019964780544. Its totient is φ = 17049968640000.

The previous prime is 100323133010077. The next prime is 100323133010119. The reversal of 100323133010100 is 1010331323001.

It is a happy number.

100323133010100 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 231 + 330 + 1 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 17566646245 + ... + 17566651955.

It is an arithmetic number, because the mean of its divisors is an integer number (137158554624).

Almost surely, 2^{100323133010100} is an apocalyptic number.

100323133010100 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 100323133010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237009982390272).

100323133010100 is an abundant number, since it is smaller than the sum of its proper divisors (373696831770444).

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

100323133010100 is a wasteful number, since it uses less digits than its factorization.

100323133010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100323133010100 its reverse (1010331323001), we get a palindrome (101333464333101).

The spelling of 100323133010100 in words is "one hundred trillion, three hundred twenty-three billion, one hundred thirty-three million, ten thousand, one hundred".