11001111020100 has 144 divisors (see below), whose sum is σ = 35368545018240. Its totient is φ = 2933462851200.

The previous prime is 11001111020093. The next prime is 11001111020131. The reversal of 11001111020100 is 102011110011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51682489 + ... + 51894911.

It is an arithmetic number, because the mean of its divisors is an integer number (245614895960).

Almost surely, 2^{11001111020100} is an apocalyptic number.

11001111020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001111020100 is an abundant number, since it is smaller than the sum of its proper divisors (24367433998140).

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

11001111020100 is a wasteful number, since it uses less digits than its factorization.

11001111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231627 (or 231614 counting only the distinct ones).

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

Adding to 11001111020100 its reverse (102011110011), we get a palindrome (11103122130111).

The spelling of 11001111020100 in words is "eleven trillion, one billion, one hundred eleven million, twenty thousand, one hundred".