1101101112000 has 336 divisors, whose sum is σ = 3968923536864. Its totient is φ = 291383040000.

The previous prime is 1101101111941. The next prime is 1101101112017. The reversal of 1101101112000 is 2111011011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9373630 + ... + 9490370.

Almost surely, 2^{1101101112000} is an apocalyptic number.

1101101112000 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 1101101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984461768432).

1101101112000 is an abundant number, since it is smaller than the sum of its proper divisors (2867822424864).

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

1101101112000 is a wasteful number, since it uses less digits than its factorization.

1101101112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116905 (or 116882 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101101112000 its reverse (2111011011), we get a palindrome (1103212123011).

The spelling of 1101101112000 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twelve thousand".