21101121101220 has 96 divisors (see below), whose sum is σ = 60498275819520. Its totient is φ = 5492368667520.

The previous prime is 21101121101219. The next prime is 21101121101227. The reversal of 21101121101220 is 2210112110112.

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 21101121101220.

It is not an unprimeable number, because it can be changed into a prime (21101121101227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015191 + ... + 6575169.

It is an arithmetic number, because the mean of its divisors is an integer number (630190373120).

Almost surely, 2^{21101121101220} is an apocalyptic number.

21101121101220 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 21101121101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249137909760).

21101121101220 is an abundant number, since it is smaller than the sum of its proper divisors (39397154718300).

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

21101121101220 is a wasteful number, since it uses less digits than its factorization.

21101121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561505 (or 5561503 counting only the distinct ones).

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

Adding to 21101121101220 its reverse (2210112110112), we get a palindrome (23311233211332).

The spelling of 21101121101220 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".