10001000101121 has 2 divisors, whose sum is σ = 10001000101122. Its totient is φ = 10001000101120.

The previous prime is 10001000101109. The next prime is 10001000101123. The reversal of 10001000101121 is 12110100010001.

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., 7102017131521 + 2898982969600 = 2664961^2 + 1702640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001000101121 - 2¹⁰ = 10001000100097 is a prime.

Together with 10001000101123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001000101099 and 10001000101108.

It is not a weakly prime, because it can be changed into another prime (10001000101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500050560 + 5000500050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500050561).

Almost surely, 2^{10001000101121} is an apocalyptic number.

It is an amenable number.

10001000101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000101121 is an equidigital number, since it uses as much as digits as its factorization.

10001000101121 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 10001000101121 its reverse (12110100010001), we get a palindrome (22111100111122).

The spelling of 10001000101121 in words is "ten trillion, one billion, one hundred one thousand, one hundred twenty-one".