11211222100 has 36 divisors (see below), whose sum is σ = 26199766684. Its totient is φ = 4139527680.

The previous prime is 11211222083. The next prime is 11211222103. The reversal of 11211222100 is 122211211.

11211222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4917655876 + 6293566224 = 70126^2 + 79332^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211222103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4310709 + ... + 4313308.

Almost surely, 2^11211222100 is an apocalyptic number.

11211222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211222100 is an abundant number, since it is smaller than the sum of its proper divisors (14988544584).

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

11211222100 is a wasteful number, since it uses less digits than its factorization.

11211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624044 (or 8624037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11211222100 its reverse (122211211), we get a palindrome (11333433311).

It can be divided in two parts, 1121 and 1222100, that added together give a palindrome (1223221).

The spelling of 11211222100 in words is "eleven billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".