100341412321201 has 8 divisors (see below), whose sum is σ = 100416341225160. Its totient is φ = 100266511368192.

The previous prime is 100341412321133. The next prime is 100341412321243. The reversal of 100341412321201 is 102123214143001.

It can be written as a sum of positive squares in 4 ways, for example, as 21176333150625 + 79165079170576 = 4601775^2 + 8897476^2 .

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 100341412321201 - 2⁹ = 100341412320689 is a prime.

It is a super-2 number, since 2×100341412321201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100341412121201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197521 + ... + 14167633.

It is an arithmetic number, because the mean of its divisors is an integer number (12552042653145).

Almost surely, 2^{100341412321201} is an apocalyptic number.

It is an amenable number.

100341412321201 is a deficient number, since it is larger than the sum of its proper divisors (74928903959).

100341412321201 is a wasteful number, since it uses less digits than its factorization.

100341412321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975475.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 100341412321201 its reverse (102123214143001), we get a palindrome (202464626464202).

The spelling of 100341412321201 in words is "one hundred trillion, three hundred forty-one billion, four hundred twelve million, three hundred twenty-one thousand, two hundred one".