2100110220121 has 2 divisors, whose sum is σ = 2100110220122. Its totient is φ = 2100110220120.

The previous prime is 2100110220119. The next prime is 2100110220127. The reversal of 2100110220121 is 1210220110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1885296509721 + 214813710400 = 1373061^2 + 463480^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100110220121 - 2¹ = 2100110220119 is a prime.

It is a super-3 number, since 3×2100110220121³ (a number of 38 digits) contains 333 as substring.

Together with 2100110220119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2100110220127) 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, 1050055110060 + 1050055110061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050055110061).

Almost surely, 2^{2100110220121} is an apocalyptic number.

It is an amenable number.

2100110220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100110220121 is an equidigital number, since it uses as much as digits as its factorization.

2100110220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100110220121 its reverse (1210220110012), we get a palindrome (3310330330133).

The spelling of 2100110220121 in words is "two trillion, one hundred billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-one".