10000011121 has 2 divisors, whose sum is σ = 10000011122. Its totient is φ = 10000011120.

The previous prime is 10000011107. The next prime is 10000011137. The reversal of 10000011121 is 12111000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7112560896 + 2887450225 = 84336^2 + 53735^2 .

It is an emirp because it is prime and its reverse (12111000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000011121 - 2¹⁷ = 9999880049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000011191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005560 + 5000005561.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005561).

Almost surely, 2^10000011121 is an apocalyptic number.

It is an amenable number.

10000011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000011121 is an equidigital number, since it uses as much as digits as its factorization.

10000011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000011121 its reverse (12111000001), we get a palindrome (22111011122).

The spelling of 10000011121 in words is "ten billion, eleven thousand, one hundred twenty-one".