1100211131112 has 128 divisors (see below), whose sum is σ = 2904469747200. Its totient is φ = 346834483200.

The previous prime is 1100211131099. The next prime is 1100211131147. The reversal of 1100211131112 is 2111311120011.

It is a junction number, because it is equal to n+sod(n) for n = 1100211131091 and 1100211131100.

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, 9810814 + ... + 9922322.

It is an arithmetic number, because the mean of its divisors is an integer number (22691169900).

Almost surely, 2^{1100211131112} is an apocalyptic number.

1100211131112 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 1100211131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452234873600).

1100211131112 is an abundant number, since it is smaller than the sum of its proper divisors (1804258616088).

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

1100211131112 is a wasteful number, since it uses less digits than its factorization.

1100211131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111867 (or 111863 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1100211131112 its reverse (2111311120011), we get a palindrome (3211522251123).

The spelling of 1100211131112 in words is "one trillion, one hundred billion, two hundred eleven million, one hundred thirty-one thousand, one hundred twelve".