11000101011100 has 108 divisors (see below), whose sum is σ = 24891373907400. Its totient is φ = 4219034428800.

The previous prime is 11000101011091. The next prime is 11000101011187. The reversal of 11000101011100 is 111010100011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9949831 + ... + 10999969.

Almost surely, 2^{11000101011100} is an apocalyptic number.

11000101011100 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 11000101011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445686953700).

11000101011100 is an abundant number, since it is smaller than the sum of its proper divisors (13891272896300).

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

11000101011100 is a wasteful number, since it uses less digits than its factorization.

11000101011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050324 (or 1050286 counting only the distinct ones).

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

Adding to 11000101011100 its reverse (111010100011), we get a palindrome (11111111111111).

The spelling of 11000101011100 in words is "eleven trillion, one hundred one million, eleven thousand, one hundred".