100105121 has 2 divisors, whose sum is σ = 100105122. Its totient is φ = 100105120.

The previous prime is 100105111. The next prime is 100105139. The reversal of 100105121 is 121501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99221521 + 883600 = 9961^2 + 940^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105121 - 2²² = 95910817 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100105111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052560 + 50052561.

It is an arithmetic number, because the mean of its divisors is an integer number (50052561).

Almost surely, 2^100105121 is an apocalyptic number.

It is an amenable number.

100105121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105121 is an equidigital number, since it uses as much as digits as its factorization.

100105121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 100105121 is about 10005.2546694225. The cubic root of 100105121 is about 464.3214692239.

Adding to 100105121 its reverse (121501001), we get a palindrome (221606122).

The spelling of 100105121 in words is "one hundred million, one hundred five thousand, one hundred twenty-one".