100300321123201 has 8 divisors (see below), whose sum is σ = 105716668979880. Its totient is φ = 95014487672832.

The previous prime is 100300321123111. The next prime is 100300321123237. The reversal of 100300321123201 is 102321123003001.

It can be written as a sum of positive squares in 4 ways, for example, as 8612323224976 + 91687997898225 = 2934676^2 + 9575385^2 .

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 100300321123201 - 2³³ = 100291731188609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100300321123601) 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, 32628600000 + ... + 32628603073.

It is an arithmetic number, because the mean of its divisors is an integer number (13214583622485).

Almost surely, 2^{100300321123201} is an apocalyptic number.

It is an amenable number.

100300321123201 is a deficient number, since it is larger than the sum of its proper divisors (5416347856679).

100300321123201 is an equidigital number, since it uses as much as digits as its factorization.

100300321123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65257203155.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100300321123201 its reverse (102321123003001), we get a palindrome (202621444126202).

The spelling of 100300321123201 in words is "one hundred trillion, three hundred billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred one".