2121010110113 has 2 divisors, whose sum is σ = 2121010110114. Its totient is φ = 2121010110112.

The previous prime is 2121010110061. The next prime is 2121010110133. The reversal of 2121010110113 is 3110110101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1708162739089 + 412847371024 = 1306967^2 + 642532^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121010110113 - 2⁶ = 2121010110049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121010110133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060505055056 + 1060505055057.

It is an arithmetic number, because the mean of its divisors is an integer number (1060505055057).

Almost surely, 2^{2121010110113} is an apocalyptic number.

It is an amenable number.

2121010110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121010110113 is an equidigital number, since it uses as much as digits as its factorization.

2121010110113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2121010110113 its reverse (3110110101212), we get a palindrome (5231120211325).

The spelling of 2121010110113 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred ten thousand, one hundred thirteen".