11203312121100 has 216 divisors, whose sum is σ = 38338532843520. Its totient is φ = 2713827888000.

The previous prime is 11203312120967. The next prime is 11203312121117. The reversal of 11203312121100 is 112121330211.

11203312121100 is a `hidden beast` number, since 1 + 1 + 20 + 331 + 212 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12219705 + ... + 13104495.

Almost surely, 2^{11203312121100} is an apocalyptic number.

11203312121100 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 11203312121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169266421760).

11203312121100 is an abundant number, since it is smaller than the sum of its proper divisors (27135220722420).

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

11203312121100 is a wasteful number, since it uses less digits than its factorization.

11203312121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886101 (or 886091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11203312121100 its reverse (112121330211), we get a palindrome (11315433451311).

The spelling of 11203312121100 in words is "eleven trillion, two hundred three billion, three hundred twelve million, one hundred twenty-one thousand, one hundred".