100823121 has 12 divisors (see below), whose sum is σ = 166438272. Its totient is φ = 57613176.

The previous prime is 100823071. The next prime is 100823137. The reversal of 100823121 is 121328001.

It is not a de Polignac number, because 100823121 - 2⁷ = 100822993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100823094 and 100823103.

It is not an unprimeable number, because it can be changed into a prime (100823321) 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, 800121 + ... + 800246.

It is an arithmetic number, because the mean of its divisors is an integer number (13869856).

Almost surely, 2^100823121 is an apocalyptic number.

It is an amenable number.

100823121 is a deficient number, since it is larger than the sum of its proper divisors (65615151).

100823121 is a wasteful number, since it uses less digits than its factorization.

100823121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600380 (or 1600377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100823121 is about 10041.0717057493. The cubic root of 100823121 is about 465.4289347700.

It can be divided in two parts, 10082 and 3121, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 100823121 in words is "one hundred million, eight hundred twenty-three thousand, one hundred twenty-one".