2121001101013 has 2 divisors, whose sum is σ = 2121001101014. Its totient is φ = 2121001101012.

The previous prime is 2121001100989. The next prime is 2121001101031. The reversal of 2121001101013 is 3101011001212.

It is a happy number.

Together with next prime (2121001101031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2120629112644 + 371988369 = 1456238^2 + 19287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121001101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121001100984 and 2121001101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121001101083) 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, 1060500550506 + 1060500550507.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500550507).

Almost surely, 2^{2121001101013} is an apocalyptic number.

It is an amenable number.

2121001101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121001101013 is an equidigital number, since it uses as much as digits as its factorization.

2121001101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2121001101013 its reverse (3101011001212), we get a palindrome (5222012102225).

The spelling of 2121001101013 in words is "two trillion, one hundred twenty-one billion, one million, one hundred one thousand, thirteen".