11101010001120 has 768 divisors, whose sum is σ = 42097604290560. Its totient is φ = 2715940454400.

The previous prime is 11101010001091. The next prime is 11101010001143. The reversal of 11101010001120 is 2110001010111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8156509240 + ... + 8156510600.

It is an arithmetic number, because the mean of its divisors is an integer number (54814588920).

Almost surely, 2^{11101010001120} is an apocalyptic number.

11101010001120 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 11101010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21048802145280).

11101010001120 is an abundant number, since it is smaller than the sum of its proper divisors (30996594289440).

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

11101010001120 is a wasteful number, since it uses less digits than its factorization.

11101010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2162 counting only the distinct ones).

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

Adding to 11101010001120 its reverse (2110001010111), we get a palindrome (13211011011231).

The spelling of 11101010001120 in words is "eleven trillion, one hundred one billion, ten million, one thousand, one hundred twenty".