11212221112100 has 18 divisors (see below), whose sum is σ = 24330519813474. Its totient is φ = 4484888444800.

The previous prime is 11212221112063. The next prime is 11212221112109. The reversal of 11212221112100 is 121112221211.

It can be written as a sum of positive squares in 3 ways, for example, as 1538180374756 + 9674040737344 = 1240234^2 + 3110312^2 .

It is not an unprimeable number, because it can be changed into a prime (11212221112109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56061105461 + ... + 56061105660.

It is an arithmetic number, because the mean of its divisors is an integer number (1351695545193).

Almost surely, 2^{11212221112100} is an apocalyptic number.

11212221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212221112100 is an abundant number, since it is smaller than the sum of its proper divisors (13118298701374).

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

11212221112100 is a wasteful number, since it uses less digits than its factorization.

11212221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112122211135 (or 112122211128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11212221112100 its reverse (121112221211), we get a palindrome (11333333333311).

It can be divided in two parts, 1121222 and 1112100, that added together give a palindrome (2233322).

The spelling of 11212221112100 in words is "eleven trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".