21211223201100 has 360 divisors, whose sum is σ = 73274483132928. Its totient is φ = 5295281904000.

The previous prime is 21211223201033. The next prime is 21211223201131. The reversal of 21211223201100 is 110232211212.

21211223201100 is a `hidden beast` number, since 2 + 1 + 211 + 22 + 320 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7544875 + ... + 9967325.

Almost surely, 2^{21211223201100} is an apocalyptic number.

21211223201100 is a gapful number since it is divisible by the number (20) 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 21211223201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36637241566464).

21211223201100 is an abundant number, since it is smaller than the sum of its proper divisors (52063259931828).

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

21211223201100 is a wasteful number, since it uses less digits than its factorization.

21211223201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422547 (or 2422531 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21211223201100 its reverse (110232211212), we get a palindrome (21321455412312).

The spelling of 21211223201100 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-three million, two hundred one thousand, one hundred".