1101111010000 has 200 divisors, whose sum is σ = 2762046662144. Its totient is φ = 424664640000.

The previous prime is 1101111009917. The next prime is 1101111010003. The reversal of 1101111010000 is 101111011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85863589 + ... + 85876411.

Almost surely, 2^{1101111010000} is an apocalyptic number.

1101111010000 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 1101111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381023331072).

1101111010000 is an abundant number, since it is smaller than the sum of its proper divisors (1660935652144).

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

1101111010000 is a wasteful number, since it uses less digits than its factorization.

1101111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13159 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1101111010000 its reverse (101111011), we get a palindrome (1101212121011).

The spelling of 1101111010000 in words is "one trillion, one hundred one billion, one hundred eleven million, ten thousand".