11021122100 has 72 divisors (see below), whose sum is σ = 25800645528. Its totient is φ = 4070809600.

The previous prime is 11021122069. The next prime is 11021122111. The reversal of 11021122100 is 122112011.

It can be written as a sum of positive squares in 12 ways, for example, as 1331082256 + 9690039844 = 36484^2 + 98438^2 .

It is a super-3 number, since 3×11021122100³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 28940 + ... + 151260.

It is an arithmetic number, because the mean of its divisors is an integer number (358342299).

Almost surely, 2^11021122100 is an apocalyptic number.

11021122100 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 11021122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900322764).

11021122100 is an abundant number, since it is smaller than the sum of its proper divisors (14779523428).

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

11021122100 is a wasteful number, since it uses less digits than its factorization.

11021122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122405 (or 122398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11021122100 its reverse (122112011), we get a palindrome (11143234111).

The spelling of 11021122100 in words is "eleven billion, twenty-one million, one hundred twenty-two thousand, one hundred".