11100002222100 has 288 divisors, whose sum is σ = 35661269532672. Its totient is φ = 2643278400000.

The previous prime is 11100002222087. The next prime is 11100002222117. The reversal of 11100002222100 is 122220000111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42197985 + ... + 42460215.

It is an arithmetic number, because the mean of its divisors is an integer number (123823852544).

Almost surely, 2^{11100002222100} is an apocalyptic number.

11100002222100 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 11100002222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830634766336).

11100002222100 is an abundant number, since it is smaller than the sum of its proper divisors (24561267310572).

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

11100002222100 is a wasteful number, since it uses less digits than its factorization.

11100002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262487 (or 262480 counting only the distinct ones).

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

Adding to 11100002222100 its reverse (122220000111), we get a palindrome (11222222222211).

The spelling of 11100002222100 in words is "eleven trillion, one hundred billion, two million, two hundred twenty-two thousand, one hundred".