2121625605113 has 16 divisors (see below), whose sum is σ = 2474340076800. Its totient is φ = 1818432510048.

The previous prime is 2121625605109. The next prime is 2121625605131. The reversal of 2121625605113 is 3115065261212.

It is not a de Polignac number, because 2121625605113 - 2² = 2121625605109 is a prime.

It is a super-2 number, since 2×2121625605113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121625605133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179381 + ... + 6513677.

It is an arithmetic number, because the mean of its divisors is an integer number (154646254800).

Almost surely, 2^{2121625605113} is an apocalyptic number.

It is an amenable number.

2121625605113 is a deficient number, since it is larger than the sum of its proper divisors (352714471687).

2121625605113 is an equidigital number, since it uses as much as digits as its factorization.

2121625605113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352821 (or 352807 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 2121625605113 in words is "two trillion, one hundred twenty-one billion, six hundred twenty-five million, six hundred five thousand, one hundred thirteen".