100101221301321 has 12 divisors (see below), whose sum is σ = 144993412474560. Its totient is φ = 66548258541720.

The previous prime is 100101221301299. The next prime is 100101221301329. The reversal of 100101221301321 is 123103122101001.

100101221301321 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 12 + 21 + 301 + 321 = 666.

It is not a de Polignac number, because 100101221301321 - 2¹⁴ = 100101221284937 is a prime.

It is a super-2 number, since 2×100101221301321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101221301294 and 100101221301303.

It is not an unprimeable number, because it can be changed into a prime (100101221301329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15490745965 + ... + 15490752426.

It is an arithmetic number, because the mean of its divisors is an integer number (12082784372880).

Almost surely, 2^{100101221301321} is an apocalyptic number.

It is an amenable number.

100101221301321 is a deficient number, since it is larger than the sum of its proper divisors (44892191173239).

100101221301321 is a wasteful number, since it uses less digits than its factorization.

100101221301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30981498756 (or 30981498753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100101221301321 its reverse (123103122101001), we get a palindrome (223204343402322).

The spelling of 100101221301321 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, three hundred one thousand, three hundred twenty-one".