11111112120100 has 36 divisors (see below), whose sum is σ = 24204930918084. Its totient is φ = 4427151278080.

The previous prime is 11111112120077. The next prime is 11111112120103. The reversal of 11111112120100 is 102121111111.

It can be written as a sum of positive squares in 6 ways, for example, as 54542799936 + 11056569320164 = 233544^2 + 3325142^2 .

It is not an unprimeable number, because it can be changed into a prime (11111112120103) 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, 216143797 + ... + 216195196.

It is an arithmetic number, because the mean of its divisors is an integer number (672359192169).

Almost surely, 2^{11111112120100} is an apocalyptic number.

11111112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111112120100 is an abundant number, since it is smaller than the sum of its proper divisors (13093818797984).

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

11111112120100 is a wasteful number, since it uses less digits than its factorization.

11111112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432339264 (or 432339257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11111112120100 its reverse (102121111111), we get a palindrome (11213233231211).

It can be divided in two parts, 11111 and 112120100, that added together give a palindrome (112131211).

The spelling of 11111112120100 in words is "eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred".