21112210211100 has 72 divisors (see below), whose sum is σ = 64677876944688. Its totient is φ = 5298750796800.

The previous prime is 21112210211041. The next prime is 21112210211107. The reversal of 21112210211100 is 111201221112.

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 21112210211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112210211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2069819431 + ... + 2069829630.

It is an arithmetic number, because the mean of its divisors is an integer number (898303846454).

Almost surely, 2^{21112210211100} is an apocalyptic number.

21112210211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112210211100 is an abundant number, since it is smaller than the sum of its proper divisors (43565666733588).

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

21112210211100 is a wasteful number, since it uses less digits than its factorization.

21112210211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139649095 (or 4139649088 counting only the distinct ones).

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

Adding to 21112210211100 its reverse (111201221112), we get a palindrome (21223411432212).

The spelling of 21112210211100 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, two hundred eleven thousand, one hundred".