11121202100100 has 72 divisors (see below), whose sum is σ = 32462100105120. Its totient is φ = 2939409159680.

The previous prime is 11121202100083. The next prime is 11121202100153. The reversal of 11121202100100 is 100120212111.

It is a super-3 number, since 3×11121202100100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163995630 + ... + 164063429.

It is an arithmetic number, because the mean of its divisors is an integer number (450862501460).

Almost surely, 2^{11121202100100} is an apocalyptic number.

11121202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121202100100 is an abundant number, since it is smaller than the sum of its proper divisors (21340898005020).

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

11121202100100 is a wasteful number, since it uses less digits than its factorization.

11121202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328059189 (or 328059182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121202100100 its reverse (100120212111), we get a palindrome (11221322312211).

The spelling of 11121202100100 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, one hundred thousand, one hundred".