11332022100 has 144 divisors (see below), whose sum is σ = 38680190976. Its totient is φ = 2506608000.

The previous prime is 11332022087. The next prime is 11332022101. The reversal of 11332022100 is 122023311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11332022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21936 + ... + 152135.

Almost surely, 2^11332022100 is an apocalyptic number.

11332022100 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 11332022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340095488).

11332022100 is an abundant number, since it is smaller than the sum of its proper divisors (27348168876).

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

11332022100 is a wasteful number, since it uses less digits than its factorization.

11332022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174126 (or 174119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11332022100 its reverse (122023311), we get a palindrome (11454045411).

The spelling of 11332022100 in words is "eleven billion, three hundred thirty-two million, twenty-two thousand, one hundred".