100011213232 has 120 divisors (see below), whose sum is σ = 228154615920. Its totient is φ = 42341644800.

The previous prime is 100011213173. The next prime is 100011213241. The reversal of 100011213232 is 232312110001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43312494 + ... + 43314802.

It is an arithmetic number, because the mean of its divisors is an integer number (1901288466).

Almost surely, 2^100011213232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114077307960).

100011213232 is an abundant number, since it is smaller than the sum of its proper divisors (128143402688).

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

100011213232 is a wasteful number, since it uses less digits than its factorization.

100011213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100011213232 its reverse (232312110001), we get a palindrome (332323323233).

The spelling of 100011213232 in words is "one hundred billion, eleven million, two hundred thirteen thousand, two hundred thirty-two".