10000121101001 has 2 divisors, whose sum is σ = 10000121101002. Its totient is φ = 10000121101000.

The previous prime is 10000121100973. The next prime is 10000121101193. The reversal of 10000121101001 is 10010112100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8716547664400 + 1283573436601 = 2952380^2 + 1132949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000121101001 - 2²² = 10000116906697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000121101001.

It is not a weakly prime, because it can be changed into another prime (10000121101301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000060550500 + 5000060550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000060550501).

Almost surely, 2^{10000121101001} is an apocalyptic number.

It is an amenable number.

10000121101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000121101001 is an equidigital number, since it uses as much as digits as its factorization.

10000121101001 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 8.

Adding to 10000121101001 its reverse (10010112100001), we get a palindrome (20010233201002).

The spelling of 10000121101001 in words is "ten trillion, one hundred twenty-one million, one hundred one thousand, one".