11221210100100 has 1728 divisors, whose sum is σ = 44795532902400. Its totient is φ = 2105625600000.

The previous prime is 11221210100071. The next prime is 11221210100153. The reversal of 11221210100100 is 100101212211.

It is a super-2 number, since 2×11221210100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58749791005 + ... + 58749791195.

It is an arithmetic number, because the mean of its divisors is an integer number (25923340800).

Almost surely, 2^{11221210100100} is an apocalyptic number.

11221210100100 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 11221210100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22397766451200).

11221210100100 is an abundant number, since it is smaller than the sum of its proper divisors (33574322802300).

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

11221210100100 is a wasteful number, since it uses less digits than its factorization.

11221210100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221210100100 its reverse (100101212211), we get a palindrome (11321311312311).

The spelling of 11221210100100 in words is "eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred thousand, one hundred".