1001112211112 has 128 divisors (see below), whose sum is σ = 2127965364000. Its totient is φ = 438289367040.

The previous prime is 1001112211109. The next prime is 1001112211129. The reversal of 1001112211112 is 2111122111001.

It can be written as a sum of positive squares in 16 ways, for example, as 8446712836 + 992665498276 = 91906^2 + 996326^2 .

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, 185629088 + ... + 185634480.

Almost surely, 2^{1001112211112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063982682000).

1001112211112 is an abundant number, since it is smaller than the sum of its proper divisors (1126853152888).

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

1001112211112 is a wasteful number, since it uses less digits than its factorization.

1001112211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6507 counting only the distinct ones).

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

Adding to 1001112211112 its reverse (2111122111001), we get a palindrome (3112234322113).

The spelling of 1001112211112 in words is "one trillion, one billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".