100331121 has 16 divisors (see below), whose sum is σ = 147280320. Its totient is φ = 60246720.

The previous prime is 100331113. The next prime is 100331123. The reversal of 100331121 is 121133001.

It is not a de Polignac number, because 100331121 - 2³ = 100331113 is a prime.

It is a super-2 number, since 2×100331121² = 20132667682233282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100331097 and 100331106.

It is not an unprimeable number, because it can be changed into a prime (100331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10350 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (9205020).

Almost surely, 2^100331121 is an apocalyptic number.

100331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100331121 is a deficient number, since it is larger than the sum of its proper divisors (46949199).

100331121 is a wasteful number, since it uses less digits than its factorization.

100331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28016.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100331121 is about 10016.5423675039. The cubic root of 100331121 is about 464.6706281235.

Adding to 100331121 its reverse (121133001), we get a palindrome (221464122).

The spelling of 100331121 in words is "one hundred million, three hundred thirty-one thousand, one hundred twenty-one".