100442244001 has 16 divisors (see below), whose sum is σ = 114354478080. Its totient is φ = 87328048720.

The previous prime is 100442243969. The next prime is 100442244011.

100442244001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100442244001 - 2⁵ = 100442243969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100442244011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923090 + ... + 1974628.

It is an arithmetic number, because the mean of its divisors is an integer number (7147154880).

Almost surely, 2^100442244001 is an apocalyptic number.

100442244001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100442244001 is a deficient number, since it is larger than the sum of its proper divisors (13912234079).

100442244001 is a wasteful number, since it uses less digits than its factorization.

100442244001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59276.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 100442 and 244001, that added together give a palindrome (344443).

The spelling of 100442244001 in words is "one hundred billion, four hundred forty-two million, two hundred forty-four thousand, one".