2111212121112 has 48 divisors (see below), whose sum is σ = 5718032218080. Its totient is φ = 703716936000.

The previous prime is 2111212121087. The next prime is 2111212121147.

It is a happy number.

2111212121112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2111212121112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2180662 + ... + 2996282.

It is an arithmetic number, because the mean of its divisors is an integer number (119125671210).

Almost surely, 2^{2111212121112} is an apocalyptic number.

It is an amenable number.

2111212121112 is an abundant number, since it is smaller than the sum of its proper divisors (3606820096968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111212121112 is a wasteful number, since it uses less digits than its factorization.

2111212121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851584 (or 851577 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

The spelling of 2111212121112 in words is "two trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twelve".