2121112011011 has 8 divisors (see below), whose sum is σ = 2424806878464. Its totient is φ = 1817586860040.

The previous prime is 2121112011001. The next prime is 2121112011043. The reversal of 2121112011011 is 1101102111212.

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

It is not a de Polignac number, because 2121112011011 - 2¹⁴ = 2121111994627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121112011001) 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, 42402335 + ... + 42452328.

It is an arithmetic number, because the mean of its divisors is an integer number (303100859808).

Almost surely, 2^{2121112011011} is an apocalyptic number.

2121112011011 is a deficient number, since it is larger than the sum of its proper divisors (303694867453).

2121112011011 is an equidigital number, since it uses as much as digits as its factorization.

2121112011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84858241.

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

Adding to 2121112011011 its reverse (1101102111212), we get a palindrome (3222214122223).

The spelling of 2121112011011 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, eleven thousand, eleven".