100440111212 has 144 divisors (see below), whose sum is σ = 218749356000. Its totient is φ = 40094466048.

The previous prime is 100440111203. The next prime is 100440111269. The reversal of 100440111212 is 212111044001.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 47 ways as a sum of consecutive naturals, for example, 201282539 + ... + 201283037.

It is an arithmetic number, because the mean of its divisors is an integer number (1519092750).

Almost surely, 2^100440111212 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 100440111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109374678000).

100440111212 is an abundant number, since it is smaller than the sum of its proper divisors (118309244788).

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

100440111212 is a wasteful number, since it uses less digits than its factorization.

100440111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100440111212 its reverse (212111044001), we get a palindrome (312551155213).

The spelling of 100440111212 in words is "one hundred billion, four hundred forty million, one hundred eleven thousand, two hundred twelve".