100223330313121 has 16 divisors (see below), whose sum is σ = 104994684748800. Its totient is φ = 95539737279168.

The previous prime is 100223330313077. The next prime is 100223330313137. The reversal of 100223330313121 is 121313033322001.

It is a cyclic number.

It is not a de Polignac number, because 100223330313121 - 2³⁵ = 100188970574753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100223330323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82507656 + ... + 83713558.

It is an arithmetic number, because the mean of its divisors is an integer number (6562167796800).

Almost surely, 2^{100223330313121} is an apocalyptic number.

It is an amenable number.

100223330313121 is a deficient number, since it is larger than the sum of its proper divisors (4771354435679).

100223330313121 is a wasteful number, since it uses less digits than its factorization.

100223330313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242288.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100223330313121 its reverse (121313033322001), we get a palindrome (221536363635122).

The spelling of 100223330313121 in words is "one hundred trillion, two hundred twenty-three billion, three hundred thirty million, three hundred thirteen thousand, one hundred twenty-one".