1102112000000 has 672 divisors, whose sum is σ = 3132634901760. Its totient is φ = 384000000000.

The previous prime is 1102111999997. The next prime is 1102112000021. The reversal of 1102112000000 is 2112011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10911999950 + ... + 10912000050.

It is an arithmetic number, because the mean of its divisors is an integer number (4661659080).

Almost surely, 2^{1102112000000} is an apocalyptic number.

1102112000000 is a gapful number since it is divisible by the number (10) 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 1102112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566317450880).

1102112000000 is an abundant number, since it is smaller than the sum of its proper divisors (2030522901760).

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

1102112000000 is an frugal number, since it uses more digits than its factorization.

1102112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102112000000 its reverse (2112011), we get a palindrome (1102114112011).

It can be divided in two parts, 11021 and 12000000, that added together give a palindrome (12011021).

The spelling of 1102112000000 in words is "one trillion, one hundred two billion, one hundred twelve million", and thus it is an aban number.