11000012222100 has 288 divisors, whose sum is σ = 35082375834240. Its totient is φ = 2638868480000.

The previous prime is 11000012222093. The next prime is 11000012222123. The reversal of 11000012222100 is 122221000011.

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

11000012222100 is a modest number, since divided by 12222100 gives 1100 as remainder.

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 95 ways as a sum of consecutive naturals, for example, 717587236 + ... + 717602564.

It is an arithmetic number, because the mean of its divisors is an integer number (121813804980).

Almost surely, 2^{11000012222100} is an apocalyptic number.

11000012222100 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 11000012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541187917120).

11000012222100 is an abundant number, since it is smaller than the sum of its proper divisors (24082363612140).

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

11000012222100 is a wasteful number, since it uses less digits than its factorization.

11000012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611 (or 17604 counting only the distinct ones).

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

Adding to 11000012222100 its reverse (122221000011), we get a palindrome (11122233222111).

The spelling of 11000012222100 in words is "eleven trillion, twelve million, two hundred twenty-two thousand, one hundred".