11021011101100 has 1152 divisors, whose sum is σ = 34426596556800. Its totient is φ = 3012121728000.

The previous prime is 11021011101097. The next prime is 11021011101119. The reversal of 11021011101100 is 110111012011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23803479469 + ... + 23803479931.

It is an arithmetic number, because the mean of its divisors is an integer number (29884198400).

Almost surely, 2^{11021011101100} is an apocalyptic number.

11021011101100 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 11021011101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213298278400).

11021011101100 is an abundant number, since it is smaller than the sum of its proper divisors (23405585455700).

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

11021011101100 is a wasteful number, since it uses less digits than its factorization.

11021011101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11021011101100 its reverse (110111012011), we get a palindrome (11131122113111).

It can be divided in two parts, 11021011 and 101100, that added together give a palindrome (11122111).

The spelling of 11021011101100 in words is "eleven trillion, twenty-one billion, eleven million, one hundred one thousand, one hundred".