10121111009 has 2 divisors, whose sum is σ = 10121111010. Its totient is φ = 10121111008.

The previous prime is 10121110963. The next prime is 10121111023. The reversal of 10121111009 is 90011112101.

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., 6324702784 + 3796408225 = 79528^2 + 61615^2 .

It is an emirp because it is prime and its reverse (90011112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121111009 - 2¹² = 10121106913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121111909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060555504 + 5060555505.

It is an arithmetic number, because the mean of its divisors is an integer number (5060555505).

Almost surely, 2^10121111009 is an apocalyptic number.

It is an amenable number.

10121111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121111009 is an equidigital number, since it uses as much as digits as its factorization.

10121111009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10121111009 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, nine".