10011112121 has 2 divisors, whose sum is σ = 10011112122. Its totient is φ = 10011112120.

The previous prime is 10011112117. The next prime is 10011112183. The reversal of 10011112121 is 12121111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9927133225 + 83978896 = 99635^2 + 9164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112121 - 2² = 10011112117 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011132121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060 + 5005556061.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556061).

Almost surely, 2^10011112121 is an apocalyptic number.

It is an amenable number.

10011112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112121 is an equidigital number, since it uses as much as digits as its factorization.

10011112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011112121 its reverse (12121111001), we get a palindrome (22132223122).

The spelling of 10011112121 in words is "ten billion, eleven million, one hundred twelve thousand, one hundred twenty-one".