2121111212101 has 8 divisors (see below), whose sum is σ = 2434531080384. Its totient is φ = 1810292339040.

The previous prime is 2121111212093. The next prime is 2121111212221. The reversal of 2121111212101 is 1012121111212.

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 2121111212101 - 2³ = 2121111212093 is a prime.

It is a super-2 number, since 2×2121111212101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121111252101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650247055 + ... + 650250316.

It is an arithmetic number, because the mean of its divisors is an integer number (304316385048).

Almost surely, 2^{2121111212101} is an apocalyptic number.

It is an amenable number.

2121111212101 is a deficient number, since it is larger than the sum of its proper divisors (313419868283).

2121111212101 is a wasteful number, since it uses less digits than its factorization.

2121111212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300497611.

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

Adding to 2121111212101 its reverse (1012121111212), we get a palindrome (3133232323313).

It can be divided in two parts, 2121111212 and 101, that multiplied together give a palindrome (214232232412).

The spelling of 2121111212101 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twelve thousand, one hundred one".