100103210320221 has 48 divisors (see below), whose sum is σ = 145316689569792. Its totient is φ = 66402670665600.

The previous prime is 100103210320129. The next prime is 100103210320363. The reversal of 100103210320221 is 122023012301001.

100103210320221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 321 + 0 + 320 + 2 + 21 = 666.

It is not a de Polignac number, because 100103210320221 - 2¹¹ = 100103210318173 is a prime.

It is a super-2 number, since 2×100103210320221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100103210320194 and 100103210320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103210320621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3750153751 + ... + 3750180443.

It is an arithmetic number, because the mean of its divisors is an integer number (3027431032704).

Almost surely, 2^{100103210320221} is an apocalyptic number.

It is an amenable number.

100103210320221 is a deficient number, since it is larger than the sum of its proper divisors (45213479249571).

100103210320221 is a wasteful number, since it uses less digits than its factorization.

100103210320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29634 (or 29631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100103210320221 its reverse (122023012301001), we get a palindrome (222126222621222).

The spelling of 100103210320221 in words is "one hundred trillion, one hundred three billion, two hundred ten million, three hundred twenty thousand, two hundred twenty-one".