1022111201029 has 2 divisors, whose sum is σ = 1022111201030. Its totient is φ = 1022111201028.

The previous prime is 1022111200987. The next prime is 1022111201047. The reversal of 1022111201029 is 9201021112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 821588152225 + 200523048804 = 906415^2 + 447798^2 .

It is an emirp because it is prime and its reverse (9201021112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022111201029 - 2¹⁷ = 1022111069957 is a prime.

It is a super-3 number, since 3×1022111201029³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022111201929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511055600514 + 511055600515.

It is an arithmetic number, because the mean of its divisors is an integer number (511055600515).

Almost surely, 2^{1022111201029} is an apocalyptic number.

It is an amenable number.

1022111201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022111201029 is an equidigital number, since it uses as much as digits as its factorization.

1022111201029 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 22.

The spelling of 1022111201029 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred one thousand, twenty-nine".