11020223332100 has 144 divisors (see below), whose sum is σ = 25734219935760. Its totient is φ = 4081539072000.

The previous prime is 11020223332093. The next prime is 11020223332123. The reversal of 11020223332100 is 123332202011.

11020223332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 7122568166596 + 3897655165504 = 2668814^2 + 1974248^2 .

It is a super-2 number, since 2×11020223332100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26752496 + ... + 27161304.

It is an arithmetic number, because the mean of its divisors is an integer number (178709860665).

Almost surely, 2^{11020223332100} is an apocalyptic number.

11020223332100 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 11020223332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867109967880).

11020223332100 is an abundant number, since it is smaller than the sum of its proper divisors (14713996603660).

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

11020223332100 is a wasteful number, since it uses less digits than its factorization.

11020223332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409098 (or 409091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11020223332100 its reverse (123332202011), we get a palindrome (11143555534111).

The spelling of 11020223332100 in words is "eleven trillion, twenty billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred".