100121110213 has 2 divisors, whose sum is σ = 100121110214. Its totient is φ = 100121110212.

The previous prime is 100121110183. The next prime is 100121110237. The reversal of 100121110213 is 312011121001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99967895329 + 153214884 = 316177^2 + 12378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121110213 - 2¹³ = 100121102021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121110193 and 100121110202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060555106 + 50060555107.

It is an arithmetic number, because the mean of its divisors is an integer number (50060555107).

Almost surely, 2^100121110213 is an apocalyptic number.

It is an amenable number.

100121110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121110213 is an equidigital number, since it uses as much as digits as its factorization.

100121110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100121110213 its reverse (312011121001), we get a palindrome (412132231214).

The spelling of 100121110213 in words is "one hundred billion, one hundred twenty-one million, one hundred ten thousand, two hundred thirteen".