100223033121 has 12 divisors (see below), whose sum is σ = 144786472740. Its totient is φ = 66806184960.

The previous prime is 100223033087. The next prime is 100223033137. The reversal of 100223033121 is 121330322001.

100223033121 is a `hidden beast` number, since 100 + 2 + 230 + 331 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34860997521 + 65362035600 = 186711^2 + 255660^2 .

It is not a de Polignac number, because 100223033121 - 2¹⁷ = 100222902049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100223033094 and 100223033103.

It is not an unprimeable number, because it can be changed into a prime (100223033191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694656 + ... + 826433.

It is an arithmetic number, because the mean of its divisors is an integer number (12065539395).

Almost surely, 2^100223033121 is an apocalyptic number.

It is an amenable number.

100223033121 is a deficient number, since it is larger than the sum of its proper divisors (44563439619).

100223033121 is a wasteful number, since it uses less digits than its factorization.

100223033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528416 (or 1528413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100223033121 its reverse (121330322001), we get a palindrome (221553355122).

The spelling of 100223033121 in words is "one hundred billion, two hundred twenty-three million, thirty-three thousand, one hundred twenty-one".