100323213210 has 192 divisors, whose sum is σ = 288084625920. Its totient is φ = 24020029440.

The previous prime is 100323213203. The next prime is 100323213217. The reversal of 100323213210 is 12312323001.

100323213210 is a `hidden beast` number, since 1 + 0 + 0 + 323 + 21 + 321 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100323213203) and next prime (100323213217).

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

It is not an unprimeable number, because it can be changed into a prime (100323213217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69044844 + ... + 69046296.

It is an arithmetic number, because the mean of its divisors is an integer number (1500440760).

Almost surely, 2^100323213210 is an apocalyptic number.

100323213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144042312960).

100323213210 is an abundant number, since it is smaller than the sum of its proper divisors (187761412710).

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

100323213210 is a wasteful number, since it uses less digits than its factorization.

100323213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

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

Adding to 100323213210 its reverse (12312323001), we get a palindrome (112635536211).

The spelling of 100323213210 in words is "one hundred billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred ten".