21820950264100 has 81 divisors (see below), whose sum is σ = 51275495373753. Its totient is φ = 8056742029440.

The previous prime is 21820950264083. The next prime is 21820950264109. The reversal of 21820950264100 is 146205902812.

It is a happy number.

The square root of 21820950264100 is 4671290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 17318032312036 + 4502917952064 = 4161494^2 + 2122008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21820950264109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 607249734 + ... + 607285666.

Almost surely, 2^{21820950264100} is an apocalyptic number.

21820950264100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21820950264100 is the 4671290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21820950264100

21820950264100 is an abundant number, since it is smaller than the sum of its proper divisors (29454545109653).

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

21820950264100 is an frugal number, since it uses more digits than its factorization.

21820950264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71906 (or 35953 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 21820950264100 in words is "twenty-one trillion, eight hundred twenty billion, nine hundred fifty million, two hundred sixty-four thousand, one hundred".