2111001112 has 128 divisors (see below), whose sum is σ = 4737761280. Its totient is φ = 870912000.

The previous prime is 2111001103. The next prime is 2111001133.

2111001112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7789537 + ... + 7789807.

It is an arithmetic number, because the mean of its divisors is an integer number (37013760).

Almost surely, 2^2111001112 is an apocalyptic number.

2111001112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).

2111001112 is an abundant number, since it is smaller than the sum of its proper divisors (2626760168).

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

2111001112 is a wasteful number, since it uses less digits than its factorization.

2111001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

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

The square root of 2111001112 is about 45945.6321319013. The cubic root of 2111001112 is about 1282.8114294226.

It can be divided in two parts, 211100 and 1112, that added together give a palindrome (212212).

The spelling of 2111001112 in words is "two billion, one hundred eleven million, one thousand, one hundred twelve".