2121100000111 has 8 divisors (see below), whose sum is σ = 2138630346944. Its totient is φ = 2103633516960.

The previous prime is 2121100000091. The next prime is 2121100000133. The reversal of 2121100000111 is 1110000011212.

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 2121100000111 - 2⁵ = 2121100000079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121100000171) 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 7 ways as a sum of consecutive naturals, for example, 15899220 + ... + 16032073.

It is an arithmetic number, because the mean of its divisors is an integer number (267328793368).

Almost surely, 2^{2121100000111} is an apocalyptic number.

2121100000111 is a deficient number, since it is larger than the sum of its proper divisors (17530346833).

2121100000111 is a wasteful number, since it uses less digits than its factorization.

2121100000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31931841.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2121100000111 its reverse (1110000011212), we get a palindrome (3231100011323).

The spelling of 2121100000111 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred eleven", and thus it is an aban number.