1101011111112 has 128 divisors (see below), whose sum is σ = 3050386099200. Its totient is φ = 328388256000.

The previous prime is 1101011111111. The next prime is 1101011111113. The reversal of 1101011111112 is 2111111101011.

It is an interprime number because it is at equal distance from previous prime (1101011111111) and next prime (1101011111113).

It is a super-3 number, since 3×1101011111112³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1101011111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218483 + ... + 4471869.

It is an arithmetic number, because the mean of its divisors is an integer number (23831141400).

Almost surely, 2^{1101011111112} is an apocalyptic number.

1101011111112 is a gapful number since it is divisible by the number (12) 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 1101011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525193049600).

1101011111112 is an abundant number, since it is smaller than the sum of its proper divisors (1949374988088).

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

1101011111112 is a wasteful number, since it uses less digits than its factorization.

1101011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253667 (or 253663 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 1101011111112 its reverse (2111111101011), we get a palindrome (3212122212123).

The spelling of 1101011111112 in words is "one trillion, one hundred one billion, eleven million, one hundred eleven thousand, one hundred twelve".