100100012320 has 192 divisors, whose sum is σ = 295688123136. Its totient is φ = 31110266880.

The previous prime is 100100012303. The next prime is 100100012347. The reversal of 100100012320 is 23210001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100012297 and 100100012306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4337452 + ... + 4360468.

It is an arithmetic number, because the mean of its divisors is an integer number (1540042308).

Almost surely, 2^100100012320 is an apocalyptic number.

100100012320 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 100100012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147844061568).

100100012320 is an abundant number, since it is smaller than the sum of its proper divisors (195588110816).

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

100100012320 is a wasteful number, since it uses less digits than its factorization.

100100012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403 (or 23395 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100100012320 its reverse (23210001001), we get a palindrome (123310013321).

The spelling of 100100012320 in words is "one hundred billion, one hundred million, twelve thousand, three hundred twenty".