2121102131111 has 16 divisors (see below), whose sum is σ = 2257023938400. Its totient is φ = 1987671011328.

The previous prime is 2121102131087. The next prime is 2121102131117. The reversal of 2121102131111 is 1111312011212.

It is a cyclic number.

It is not a de Polignac number, because 2121102131111 - 2¹⁸ = 2121101868967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121102131111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121102131117) 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, 364535 + ... + 2091671.

It is an arithmetic number, because the mean of its divisors is an integer number (141063996150).

Almost surely, 2^{2121102131111} is an apocalyptic number.

2121102131111 is a deficient number, since it is larger than the sum of its proper divisors (135921807289).

2121102131111 is a wasteful number, since it uses less digits than its factorization.

2121102131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727858.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 2121102131111 its reverse (1111312011212), we get a palindrome (3232414142323).

The spelling of 2121102131111 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred thirty-one thousand, one hundred eleven".