2121210011113 has 8 divisors (see below), whose sum is σ = 2195174971080. Its totient is φ = 2047299703680.

The previous prime is 2121210011093. The next prime is 2121210011119. The reversal of 2121210011113 is 3111100121212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3378864384 + 2117831146729 = 58128^2 + 1455277^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121210011113 - 2²⁵ = 2121176456681 is a prime.

It is a super-3 number, since 3×2121210011113³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121210011119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13584148 + ... + 13739413.

It is an arithmetic number, because the mean of its divisors is an integer number (274396871385).

Almost surely, 2^{2121210011113} is an apocalyptic number.

It is an amenable number.

2121210011113 is a deficient number, since it is larger than the sum of its proper divisors (73964959967).

2121210011113 is a wasteful number, since it uses less digits than its factorization.

2121210011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27326267.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2121210011113 its reverse (3111100121212), we get a palindrome (5232310132325).

The spelling of 2121210011113 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, eleven thousand, one hundred thirteen".