100202444202001 has 8 divisors (see below), whose sum is σ = 100564710982344. Its totient is φ = 99840217666560.

The previous prime is 100202444201941. The next prime is 100202444202011.

100202444202001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 47934229137025 + 52268215064976 = 6923455^2 + 7229676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100202444202001 - 2³⁷ = 100065005248529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202444202011) by changing a digit.

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, 5068120 + ... + 15036313.

It is an arithmetic number, because the mean of its divisors is an integer number (12570588872793).

Almost surely, 2^{100202444202001} is an apocalyptic number.

It is an amenable number.

100202444202001 is a deficient number, since it is larger than the sum of its proper divisors (362266780343).

100202444202001 is a wasteful number, since it uses less digits than its factorization.

100202444202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122451.

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

The spelling of 100202444202001 in words is "one hundred trillion, two hundred two billion, four hundred forty-four million, two hundred two thousand, one".