100044012041101 has 24 divisors (see below), whose sum is σ = 102968417134440. Its totient is φ = 97200264376320.

The previous prime is 100044012041093. The next prime is 100044012041147. The reversal of 100044012041101 is 101140210440001.

It can be written as a sum of positive squares in 12 ways, for example, as 74936636994025 + 25107375047076 = 8656595^2 + 5010726^2 .

It is not a de Polignac number, because 100044012041101 - 2³ = 100044012041093 is a prime.

It is a super-2 number, since 2×100044012041101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044012041801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485384895 + ... + 485590963.

It is an arithmetic number, because the mean of its divisors is an integer number (4290350713935).

Almost surely, 2^{100044012041101} is an apocalyptic number.

It is an amenable number.

100044012041101 is a deficient number, since it is larger than the sum of its proper divisors (2924405093339).

100044012041101 is an equidigital number, since it uses as much as digits as its factorization.

100044012041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207345 (or 207304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100044012041101 its reverse (101140210440001), we get a palindrome (201184222481102).

The spelling of 100044012041101 in words is "one hundred trillion, forty-four billion, twelve million, forty-one thousand, one hundred one".