2101010112121 has 2 divisors, whose sum is σ = 2101010112122. Its totient is φ = 2101010112120.

The previous prime is 2101010112119. The next prime is 2101010112151. The reversal of 2101010112121 is 1212110101012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2094966760000 + 6043352121 = 1447400^2 + 77739^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101010112121 - 2¹ = 2101010112119 is a prime.

It is a super-2 number, since 2×2101010112121² (a number of 25 digits) contains 22 as substring.

Together with 2101010112119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2101010112151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050505056060 + 1050505056061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050505056061).

Almost surely, 2^{2101010112121} is an apocalyptic number.

It is an amenable number.

2101010112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101010112121 is an equidigital number, since it uses as much as digits as its factorization.

2101010112121 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 13.

Adding to 2101010112121 its reverse (1212110101012), we get a palindrome (3313120213133).

The spelling of 2101010112121 in words is "two trillion, one hundred one billion, ten million, one hundred twelve thousand, one hundred twenty-one".