2100111211121 has 24 divisors (see below), whose sum is σ = 2658294969792. Its totient is φ = 1623958221600.

The previous prime is 2100111211039. The next prime is 2100111211141. The reversal of 2100111211121 is 1211121110012.

It is not a de Polignac number, because 2100111211121 - 2¹⁴ = 2100111194737 is a prime.

It is a super-2 number, since 2×2100111211121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100111211096 and 2100111211105.

It is not an unprimeable number, because it can be changed into a prime (2100111211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9352670 + ... + 9574583.

It is an arithmetic number, because the mean of its divisors is an integer number (110762290408).

Almost surely, 2^{2100111211121} is an apocalyptic number.

It is an amenable number.

2100111211121 is a deficient number, since it is larger than the sum of its proper divisors (558183758671).

2100111211121 is a wasteful number, since it uses less digits than its factorization.

2100111211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18927413 (or 18927402 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2100111211121 its reverse (1211121110012), we get a palindrome (3311232321133).

The spelling of 2100111211121 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".