100312121 has 32 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 73405440.

The previous prime is 100312111. The next prime is 100312123. The reversal of 100312121 is 121213001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100312121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100312123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93836 + ... + 94898.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2^100312121 is an apocalyptic number.

It is an amenable number.

100312121 is a deficient number, since it is larger than the sum of its proper divisors (32679367).

100312121 is a wasteful number, since it uses less digits than its factorization.

100312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100312121 is about 10015.5938915274. The cubic root of 100312121 is about 464.6412942564.

Adding to 100312121 its reverse (121213001), we get a palindrome (221525122).

The spelling of 100312121 in words is "one hundred million, three hundred twelve thousand, one hundred twenty-one".