21101220021100 has 144 divisors (see below), whose sum is σ = 46523152327680. Its totient is φ = 8306038540800.

The previous prime is 21101220021047. The next prime is 21101220021107. The reversal of 21101220021100 is 112002210112.

It is a super-2 number, since 2×21101220021100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21101220021107) 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 47 ways as a sum of consecutive naturals, for example, 3153668755 + ... + 3153675445.

It is an arithmetic number, because the mean of its divisors is an integer number (323077446720).

Almost surely, 2^{21101220021100} is an apocalyptic number.

21101220021100 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 21101220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261576163840).

21101220021100 is an abundant number, since it is smaller than the sum of its proper divisors (25421932306580).

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

21101220021100 is a wasteful number, since it uses less digits than its factorization.

21101220021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21101220021100 its reverse (112002210112), we get a palindrome (21213222231212).

The spelling of 21101220021100 in words is "twenty-one trillion, one hundred one billion, two hundred twenty million, twenty-one thousand, one hundred".