2112111102029 has 2 divisors, whose sum is σ = 2112111102030. Its totient is φ = 2112111102028.

The previous prime is 2112111102011. The next prime is 2112111102037. The reversal of 2112111102029 is 9202011112112.

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., 1764952105225 + 347158996804 = 1328515^2 + 589202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112111102029 - 2⁴⁰ = 1012599474253 is a prime.

It is a super-2 number, since 2×2112111102029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112111101995 and 2112111102013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112111101029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055551014 + 1056055551015.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055551015).

Almost surely, 2^{2112111102029} is an apocalyptic number.

It is an amenable number.

2112111102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111102029 is an equidigital number, since it uses as much as digits as its factorization.

2112111102029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 2112111102029 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred two thousand, twenty-nine".