2102210121013 has 2 divisors, whose sum is σ = 2102210121014. Its totient is φ = 2102210121012.

The previous prime is 2102210121007. The next prime is 2102210121029. The reversal of 2102210121013 is 3101210122012.

It is an a-pointer prime, because the next prime (2102210121029) can be obtained adding 2102210121013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1391321688849 + 710888432164 = 1179543^2 + 843142^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102210121013 is a prime.

It is a super-3 number, since 3×2102210121013³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102210421013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051105060506 + 1051105060507.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105060507).

Almost surely, 2^{2102210121013} is an apocalyptic number.

It is an amenable number.

2102210121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102210121013 is an equidigital number, since it uses as much as digits as its factorization.

2102210121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2102210121013 its reverse (3101210122012), we get a palindrome (5203420243025).

Subtracting 2102210121013 from its reverse (3101210122012), we obtain a palindrome (999000000999).

The spelling of 2102210121013 in words is "two trillion, one hundred two billion, two hundred ten million, one hundred twenty-one thousand, thirteen".