20102110110001 has 2 divisors, whose sum is σ = 20102110110002. Its totient is φ = 20102110110000.

The previous prime is 20102110109989. The next prime is 20102110110067. The reversal of 20102110110001 is 10001101120102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20044245326400 + 57864783601 = 4477080^2 + 240551^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102110110001 - 2¹¹ = 20102110107953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20102110110001.

It is not a weakly prime, because it can be changed into another prime (20102110710001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051055055000 + 10051055055001.

It is an arithmetic number, because the mean of its divisors is an integer number (10051055055001).

Almost surely, 2^{20102110110001} is an apocalyptic number.

It is an amenable number.

20102110110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102110110001 is an equidigital number, since it uses as much as digits as its factorization.

20102110110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20102110110001 its reverse (10001101120102), we get a palindrome (30103211230103).

The spelling of 20102110110001 in words is "twenty trillion, one hundred two billion, one hundred ten million, one hundred ten thousand, one".