2111102011112 has 64 divisors (see below), whose sum is σ = 3992155200000. Its totient is φ = 1046576401920.

The previous prime is 2111102011091. The next prime is 2111102011141.

2111102011112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2111102011112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 454095764 + ... + 454100412.

It is an arithmetic number, because the mean of its divisors is an integer number (62377425000).

Almost surely, 2^{2111102011112} is an apocalyptic number.

It is an amenable number.

2111102011112 is a deficient number, since it is larger than the sum of its proper divisors (1881053188888).

2111102011112 is a wasteful number, since it uses less digits than its factorization.

2111102011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5870 counting only the distinct ones).

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

It can be divided in two parts, 211110 and 2011112, that added together give a palindrome (2222222).

The spelling of 2111102011112 in words is "two trillion, one hundred eleven billion, one hundred two million, eleven thousand, one hundred twelve".