100320101041 has 8 divisors (see below), whose sum is σ = 103807506600. Its totient is φ = 96834568320.

The previous prime is 100320100963. The next prime is 100320101051. The reversal of 100320101041 is 140101023001.

It can be written as a sum of positive squares in 4 ways, for example, as 650454016 + 99669647025 = 25504^2 + 315705^2 .

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 100320101041 - 2¹⁷ = 100319969969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100320101051) 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, 358780 + ... + 573901.

It is an arithmetic number, because the mean of its divisors is an integer number (12975938325).

Almost surely, 2^100320101041 is an apocalyptic number.

It is an amenable number.

100320101041 is a deficient number, since it is larger than the sum of its proper divisors (3487405559).

100320101041 is an equidigital number, since it uses as much as digits as its factorization.

100320101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936419.

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

Adding to 100320101041 its reverse (140101023001), we get a palindrome (240421124042).

The spelling of 100320101041 in words is "one hundred billion, three hundred twenty million, one hundred one thousand, forty-one".