2112000201029 has 2 divisors, whose sum is σ = 2112000201030. Its totient is φ = 2112000201028.

The previous prime is 2112000200987. The next prime is 2112000201109. The reversal of 2112000201029 is 9201020002112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1894655896225 + 217344304804 = 1376465^2 + 466202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112000201029 - 2⁸ = 2112000200773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2112000201029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112000201229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000100514 + 1056000100515.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000100515).

Almost surely, 2^{2112000201029} is an apocalyptic number.

It is an amenable number.

2112000201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112000201029 is an equidigital number, since it uses as much as digits as its factorization.

2112000201029 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 20.

The spelling of 2112000201029 in words is "two trillion, one hundred twelve billion, two hundred one thousand, twenty-nine".