11321020100 has 72 divisors (see below), whose sum is σ = 26506902408. Its totient is φ = 4172083200.

The previous prime is 11321020099. The next prime is 11321020111. The reversal of 11321020100 is 102012311.

It can be written as a sum of positive squares in 12 ways, for example, as 5181984196 + 6139035904 = 71986^2 + 78352^2 .

It is a super-2 number, since 2×11321020100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695252 + ... + 711348.

Almost surely, 2^11321020100 is an apocalyptic number.

11321020100 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 11321020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253451204).

11321020100 is an abundant number, since it is smaller than the sum of its proper divisors (15185882308).

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

11321020100 is a wasteful number, since it uses less digits than its factorization.

11321020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11321020100 its reverse (102012311), we get a palindrome (11423032411).

The spelling of 11321020100 in words is "eleven billion, three hundred twenty-one million, twenty thousand, one hundred".