21121000101220 has 48 divisors (see below), whose sum is σ = 46972095570288. Its totient is φ = 7949923266560.

The previous prime is 21121000101209. The next prime is 21121000101233. The reversal of 21121000101220 is 2210100012112.

It can be written as a sum of positive squares in 8 ways, for example, as 624681575424 + 20496318525796 = 790368^2 + 4527286^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21121000101220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4115137 + ... + 7692616.

It is an arithmetic number, because the mean of its divisors is an integer number (978585324381).

Almost surely, 2^{21121000101220} is an apocalyptic number.

21121000101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121000101220 is an abundant number, since it is smaller than the sum of its proper divisors (25851095469068).

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

21121000101220 is a wasteful number, since it uses less digits than its factorization.

21121000101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11813040 (or 11813038 counting only the distinct ones).

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

Adding to 21121000101220 its reverse (2210100012112), we get a palindrome (23331100113332).

The spelling of 21121000101220 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one thousand, two hundred twenty".