10011112121029 has 2 divisors, whose sum is σ = 10011112121030. Its totient is φ = 10011112121028.

The previous prime is 10011112120973. The next prime is 10011112121057. The reversal of 10011112121029 is 92012121111001.

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., 9848362004100 + 162750116929 = 3138210^2 + 403423^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112121029 - 2²⁷ = 10010977903301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112121929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060514 + 5005556060515.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556060515).

Almost surely, 2^{10011112121029} is an apocalyptic number.

It is an amenable number.

10011112121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112121029 is an equidigital number, since it uses as much as digits as its factorization.

10011112121029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 10011112121029 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, twenty-nine".