20102101211029 has 2 divisors, whose sum is σ = 20102101211030. Its totient is φ = 20102101211028.

The previous prime is 20102101210981. The next prime is 20102101211033. The reversal of 20102101211029 is 92011210120102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19746380816100 + 355720394929 = 4443690^2 + 596423^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102101211029 - 2²³ = 20102092822421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20102101211039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051050605514 + 10051050605515.

It is an arithmetic number, because the mean of its divisors is an integer number (10051050605515).

Almost surely, 2^{20102101211029} is an apocalyptic number.

It is an amenable number.

20102101211029 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102101211029 is an equidigital number, since it uses as much as digits as its factorization.

20102101211029 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 20102101211029 in words is "twenty trillion, one hundred two billion, one hundred one million, two hundred eleven thousand, twenty-nine".