20110020102101 has 2 divisors, whose sum is σ = 20110020102102. Its totient is φ = 20110020102100.

The previous prime is 20110020102089. The next prime is 20110020102149. The reversal of 20110020102101 is 10120102001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16171263865201 + 3938756236900 = 4021351^2 + 1984630^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110020102101 - 2²² = 20110015907797 is a prime.

It is a super-2 number, since 2×20110020102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20110020102191) 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, 10055010051050 + 10055010051051.

It is an arithmetic number, because the mean of its divisors is an integer number (10055010051051).

Almost surely, 2^{20110020102101} is an apocalyptic number.

It is an amenable number.

20110020102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110020102101 is an equidigital number, since it uses as much as digits as its factorization.

20110020102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20110020102101 its reverse (10120102001102), we get a palindrome (30230122103203).

The spelling of 20110020102101 in words is "twenty trillion, one hundred ten billion, twenty million, one hundred two thousand, one hundred one".