1101111122000 has 160 divisors (see below), whose sum is σ = 2743226532384. Its totient is φ = 427286016000.

The previous prime is 1101111121987. The next prime is 1101111122087. The reversal of 1101111122000 is 2211111011.

It can be written as a sum of positive squares in 16 ways, for example, as 1099092237376 + 2018884624 = 1048376^2 + 44932^2 .

It is a congruent number.

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, 8844182 + ... + 8967818.

Almost surely, 2^{1101111122000} is an apocalyptic number.

1101111122000 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 1101111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371613266192).

1101111122000 is an abundant number, since it is smaller than the sum of its proper divisors (1642115410384).

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

1101111122000 is a wasteful number, since it uses less digits than its factorization.

1101111122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123794 (or 123778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1101111122000 its reverse (2211111011), we get a palindrome (1103322233011).

The spelling of 1101111122000 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand".