11012100200220 has 288 divisors, whose sum is σ = 37147096627200. Its totient is φ = 2428797880320.

The previous prime is 11012100200209. The next prime is 11012100200341. The reversal of 11012100200220 is 2200200121011.

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 = 11012100200196 and 11012100200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9249556 + ... + 10372004.

It is an arithmetic number, because the mean of its divisors is an integer number (128982974400).

Almost surely, 2^{11012100200220} is an apocalyptic number.

11012100200220 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 11012100200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573548313600).

11012100200220 is an abundant number, since it is smaller than the sum of its proper divisors (26134996426980).

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

11012100200220 is a wasteful number, since it uses less digits than its factorization.

11012100200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122593 (or 1122584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012100200220 its reverse (2200200121011), we get a palindrome (13212300321231).

The spelling of 11012100200220 in words is "eleven trillion, twelve billion, one hundred million, two hundred thousand, two hundred twenty".