11221100121210 has 192 divisors, whose sum is σ = 32210030329344. Its totient is φ = 2493029145600.

The previous prime is 11221100121137. The next prime is 11221100121211. The reversal of 11221100121210 is 1212100112211.

It is a happy number.

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 11221100121210.

It is not an unprimeable number, because it can be changed into a prime (11221100121211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15989664 + ... + 16676676.

It is an arithmetic number, because the mean of its divisors is an integer number (167760574632).

Almost surely, 2^{11221100121210} is an apocalyptic number.

11221100121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221100121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105015164672).

11221100121210 is an abundant number, since it is smaller than the sum of its proper divisors (20988930208134).

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

11221100121210 is a wasteful number, since it uses less digits than its factorization.

11221100121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687349 (or 687342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221100121210 its reverse (1212100112211), we get a palindrome (12433200233421).

It can be divided in two parts, 112211001 and 21210, that added together give a palindrome (112232211).

The spelling of 11221100121210 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, two hundred ten".