100100412144 has 40 divisors (see below), whose sum is σ = 287325258320. Its totient is φ = 33366803904.

The previous prime is 100100412109. The next prime is 100100412161. The reversal of 100100412144 is 441214001001.

100100412144 is a `hidden beast` number, since 10 + 0 + 100 + 412 + 144 = 666.

It is a super-2 number, since 2×100100412144² (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 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 7 ways as a sum of consecutive naturals, for example, 115856527 + ... + 115857390.

It is an arithmetic number, because the mean of its divisors is an integer number (7183131458).

Almost surely, 2^100100412144 is an apocalyptic number.

It is an amenable number.

100100412144 is an abundant number, since it is smaller than the sum of its proper divisors (187224846176).

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

100100412144 is a wasteful number, since it uses less digits than its factorization.

100100412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231713934 (or 231713922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100100412144 its reverse (441214001001), we get a palindrome (541314413145).

The spelling of 100100412144 in words is "one hundred billion, one hundred million, four hundred twelve thousand, one hundred forty-four".