10003121233121 has 2 divisors, whose sum is σ = 10003121233122. Its totient is φ = 10003121233120.

The previous prime is 10003121233111. The next prime is 10003121233141. The reversal of 10003121233121 is 12133212130001.

It is a happy number.

It is an a-pointer prime, because the next prime (10003121233141) can be obtained adding 10003121233121 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9947962013521 + 55159219600 = 3154039^2 + 234860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003121233121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003121233093 and 10003121233102.

It is not a weakly prime, because it can be changed into another prime (10003121233111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001560616560 + 5001560616561.

It is an arithmetic number, because the mean of its divisors is an integer number (5001560616561).

Almost surely, 2^{10003121233121} is an apocalyptic number.

It is an amenable number.

10003121233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003121233121 is an equidigital number, since it uses as much as digits as its factorization.

10003121233121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10003121233121 its reverse (12133212130001), we get a palindrome (22136333363122).

The spelling of 10003121233121 in words is "ten trillion, three billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty-one".