11121100210020 has 192 divisors, whose sum is σ = 31784965632000. Its totient is φ = 2904746517504.

The previous prime is 11121100210019. The next prime is 11121100210063. The reversal of 11121100210020 is 2001200112111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11121100209978 and 11121100210005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944140491 + ... + 944152269.

It is an arithmetic number, because the mean of its divisors is an integer number (165546696000).

Almost surely, 2^{11121100210020} is an apocalyptic number.

11121100210020 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 11121100210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892482816000).

11121100210020 is an abundant number, since it is smaller than the sum of its proper divisors (20663865421980).

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

11121100210020 is a wasteful number, since it uses less digits than its factorization.

11121100210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121100210020 its reverse (2001200112111), we get a palindrome (13122300322131).

The spelling of 11121100210020 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, two hundred ten thousand, twenty".