11332121021100 has 216 divisors, whose sum is σ = 38753971222512. Its totient is φ = 2746827417600.

The previous prime is 11332121021071. The next prime is 11332121021113. The reversal of 11332121021100 is 112012123311.

11332121021100 is a `hidden beast` number, since 1 + 1 + 332 + 1 + 210 + 21 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81437184 + ... + 81576216.

Almost surely, 2^{11332121021100} is an apocalyptic number.

11332121021100 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 11332121021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376985611256).

11332121021100 is an abundant number, since it is smaller than the sum of its proper divisors (27421850201412).

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

11332121021100 is a wasteful number, since it uses less digits than its factorization.

11332121021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147297 (or 147287 counting only the distinct ones).

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

Adding to 11332121021100 its reverse (112012123311), we get a palindrome (11444133144411).

The spelling of 11332121021100 in words is "eleven trillion, three hundred thirty-two billion, one hundred twenty-one million, twenty-one thousand, one hundred".