11221021212100 has 216 divisors, whose sum is σ = 30040305813000. Its totient is φ = 3614977658880.

The previous prime is 11221021212097. The next prime is 11221021212187. The reversal of 11221021212100 is 121212012211.

It can be written as a sum of positive squares in 12 ways, for example, as 6244231331716 + 4976789880384 = 2498846^2 + 2230872^2 .

It is a super-2 number, since 2×11221021212100² (a number of 27 digits) contains 22 as substring.

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, 50953026 + ... + 51172774.

It is an arithmetic number, because the mean of its divisors is an integer number (139075489875).

Almost surely, 2^{11221021212100} is an apocalyptic number.

11221021212100 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 11221021212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020152906500).

11221021212100 is an abundant number, since it is smaller than the sum of its proper divisors (18819284600900).

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

11221021212100 is a wasteful number, since it uses less digits than its factorization.

11221021212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220407 (or 220393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221021212100 its reverse (121212012211), we get a palindrome (11342233224311).

The spelling of 11221021212100 in words is "eleven trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one hundred".