11100211000020 has 144 divisors (see below), whose sum is σ = 35445645930240. Its totient is φ = 2804036997888.

The previous prime is 11100211000013. The next prime is 11100211000103. The reversal of 11100211000020 is 2000011200111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11100210999966 and 11100211000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44359174 + ... + 44608706.

It is an arithmetic number, because the mean of its divisors is an integer number (246150318960).

Almost surely, 2^{11100211000020} is an apocalyptic number.

11100211000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100211000020 is an abundant number, since it is smaller than the sum of its proper divisors (24345434930220).

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

11100211000020 is a wasteful number, since it uses less digits than its factorization.

11100211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262574 (or 262569 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100211000020 its reverse (2000011200111), we get a palindrome (13100222200131).

The spelling of 11100211000020 in words is "eleven trillion, one hundred billion, two hundred eleven million, twenty", and thus it is an aban number.