100204131001 has 8 divisors (see below), whose sum is σ = 107926716744. Its totient is φ = 92483627520.

The previous prime is 100204130933. The next prime is 100204131007. The reversal of 100204131001 is 100131402001.

It can be written as a sum of positive squares in 4 ways, for example, as 3445807401 + 96758323600 = 58701^2 + 311060^2 .

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 100204131001 - 2³⁵ = 65844392633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100204131007) 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, 419890 + ... + 613771.

It is an arithmetic number, because the mean of its divisors is an integer number (13490839593).

Almost surely, 2^100204131001 is an apocalyptic number.

It is an amenable number.

100204131001 is a deficient number, since it is larger than the sum of its proper divisors (7722585743).

100204131001 is a wasteful number, since it uses less digits than its factorization.

100204131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041131.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100204131001 its reverse (100131402001), we get a palindrome (200335533002).

The spelling of 100204131001 in words is "one hundred billion, two hundred four million, one hundred thirty-one thousand, one".