10000022121121 has 2 divisors, whose sum is σ = 10000022121122. Its totient is φ = 10000022121120.

The previous prime is 10000022121119. The next prime is 10000022121149. The reversal of 10000022121121 is 12112122000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9523791012096 + 476231109025 = 3086064^2 + 690095^2 .

It is an emirp because it is prime and its reverse (12112122000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000022121121 - 2¹ = 10000022121119 is a prime.

Together with 10000022121119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10000022121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000011060560 + 5000011060561.

It is an arithmetic number, because the mean of its divisors is an integer number (5000011060561).

Almost surely, 2^{10000022121121} is an apocalyptic number.

It is an amenable number.

10000022121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000022121121 is an equidigital number, since it uses as much as digits as its factorization.

10000022121121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10000022121121 its reverse (12112122000001), we get a palindrome (22112144121122).

The spelling of 10000022121121 in words is "ten trillion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".