100443400044100 has 18 divisors (see below), whose sum is σ = 217962178095914. Its totient is φ = 40177360017600.

The previous prime is 100443400044077. The next prime is 100443400044103. The reversal of 100443400044100 is 1440004344001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2190263842116 + 98253136201984 = 1479954^2 + 9912272^2 .

It is a super-2 number, since 2×100443400044100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100443400044103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502217000121 + ... + 502217000320.

Almost surely, 2^{100443400044100} is an apocalyptic number.

100443400044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100443400044100 is an abundant number, since it is smaller than the sum of its proper divisors (117518778051814).

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

100443400044100 is a wasteful number, since it uses less digits than its factorization.

100443400044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004434000455 (or 1004434000448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 100443400044100 its reverse (1440004344001), we get a palindrome (101883404388101).

The spelling of 100443400044100 in words is "one hundred trillion, four hundred forty-three billion, four hundred million, forty-four thousand, one hundred".