100311221232 has 160 divisors (see below), whose sum is σ = 296839959360. Its totient is φ = 32412856320.

The previous prime is 100311221201. The next prime is 100311221233. The reversal of 100311221232 is 232122113001.

100311221232 is a `hidden beast` number, since 100 + 311 + 2 + 21 + 232 = 666.

It is a super-2 number, since 2×100311221232² (a number of 23 digits) contains 22 as substring.

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 (100311221233) by changing a digit.

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, 2762748 + ... + 2798820.

It is an arithmetic number, because the mean of its divisors is an integer number (1855249746).

Almost surely, 2^100311221232 is an apocalyptic number.

100311221232 is a gapful number since it is divisible by the number (12) 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 100311221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148419979680).

100311221232 is an abundant number, since it is smaller than the sum of its proper divisors (196528738128).

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

100311221232 is a wasteful number, since it uses less digits than its factorization.

100311221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36288 (or 36276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100311221232 its reverse (232122113001), we get a palindrome (332433334233).

The spelling of 100311221232 in words is "one hundred billion, three hundred eleven million, two hundred twenty-one thousand, two hundred thirty-two".