11200012121100 has 144 divisors (see below), whose sum is σ = 36306752219136. Its totient is φ = 2641771872000.

The previous prime is 11200012121087. The next prime is 11200012121107. The reversal of 11200012121100 is 112121000211.

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

It is not an unprimeable number, because it can be changed into a prime (11200012121107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45741996 + ... + 45986195.

It is an arithmetic number, because the mean of its divisors is an integer number (252130223744).

Almost surely, 2^{11200012121100} is an apocalyptic number.

11200012121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200012121100 is an abundant number, since it is smaller than the sum of its proper divisors (25106740098036).

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

11200012121100 is a wasteful number, since it uses less digits than its factorization.

11200012121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91728256 (or 91728249 counting only the distinct ones).

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

Adding to 11200012121100 its reverse (112121000211), we get a palindrome (11312133121311).

The spelling of 11200012121100 in words is "eleven trillion, two hundred billion, twelve million, one hundred twenty-one thousand, one hundred".