2121210001113 has 32 divisors (see below), whose sum is σ = 3422545871616. Its totient is φ = 1140789024768.

The previous prime is 2121210001109. The next prime is 2121210001189. The reversal of 2121210001113 is 3111000121212.

It is not a de Polignac number, because 2121210001113 - 2² = 2121210001109 is a prime.

It is a super-3 number, since 3×2121210001113³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121210001092 and 2121210001101.

It is not an unprimeable number, because it can be changed into a prime (2121210001213) 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 31 ways as a sum of consecutive naturals, for example, 24458695 + ... + 24545267.

It is an arithmetic number, because the mean of its divisors is an integer number (106954558488).

Almost surely, 2^{2121210001113} is an apocalyptic number.

It is an amenable number.

2121210001113 is a deficient number, since it is larger than the sum of its proper divisors (1301335870503).

2121210001113 is a wasteful number, since it uses less digits than its factorization.

2121210001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155233.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2121210001113 its reverse (3111000121212), we get a palindrome (5232210122325).

The spelling of 2121210001113 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one thousand, one hundred thirteen".