100010100121 has 2 divisors, whose sum is σ = 100010100122. Its totient is φ = 100010100120.

The previous prime is 100010100109. The next prime is 100010100163. The reversal of 100010100121 is 121001010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79053194896 + 20956905225 = 281164^2 + 144765^2 .

It is an emirp because it is prime and its reverse (121001010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010100121 - 2¹¹ = 100010098073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010160121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050060 + 50005050061.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050061).

Almost surely, 2^100010100121 is an apocalyptic number.

It is an amenable number.

100010100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100121 is an equidigital number, since it uses as much as digits as its factorization.

100010100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010100121 its reverse (121001010001), we get a palindrome (221011110122).

The spelling of 100010100121 in words is "one hundred billion, ten million, one hundred thousand, one hundred twenty-one".