11012221211100 has 1152 divisors, whose sum is σ = 37410695562240. Its totient is φ = 2485373829120.

The previous prime is 11012221211093. The next prime is 11012221211119. The reversal of 11012221211100 is 111212221011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012221211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12471371259 + ... + 12471372141.

It is an arithmetic number, because the mean of its divisors is an integer number (32474562120).

Almost surely, 2^{11012221211100} is an apocalyptic number.

11012221211100 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 11012221211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705347781120).

11012221211100 is an abundant number, since it is smaller than the sum of its proper divisors (26398474351140).

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

11012221211100 is a wasteful number, since it uses less digits than its factorization.

11012221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11012221211100 its reverse (111212221011), we get a palindrome (11123433432111).

The spelling of 11012221211100 in words is "eleven trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".