102000100121 has 2 divisors, whose sum is σ = 102000100122. Its totient is φ = 102000100120.

The previous prime is 102000100039. The next prime is 102000100177. The reversal of 102000100121 is 121001000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99061267600 + 2938832521 = 314740^2 + 54211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102000100121 is a prime.

It is a super-3 number, since 3×102000100121³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102000100099 and 102000100108.

It is not a weakly prime, because it can be changed into another prime (102000100021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000050060 + 51000050061.

It is an arithmetic number, because the mean of its divisors is an integer number (51000050061).

Almost surely, 2^102000100121 is an apocalyptic number.

It is an amenable number.

102000100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000100121 is an equidigital number, since it uses as much as digits as its factorization.

102000100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102000100121 its reverse (121001000201), we get a palindrome (223001100322).

The spelling of 102000100121 in words is "one hundred two billion, one hundred thousand, one hundred twenty-one".