21930582660100 has 81 divisors (see below), whose sum is σ = 47823114033877. Its totient is φ = 8729355424480.

The previous prime is 21930582660089. The next prime is 21930582660167. The reversal of 21930582660100 is 106628503912.

The square root of 21930582660100 is 4683010.

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

It can be written as a sum of positive squares in only one way, i.e., 7895009757636 + 14035572902464 = 2809806^2 + 3746408^2 .

It is a super-2 number, since 2×21930582660100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10630431669 + ... + 10630433731.

Almost surely, 2^{21930582660100} is an apocalyptic number.

21930582660100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21930582660100 is the 4683010-th square number.

It is an amenable number.

21930582660100 is an abundant number, since it is smaller than the sum of its proper divisors (25892531373777).

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

21930582660100 is an frugal number, since it uses more digits than its factorization.

21930582660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 21930582660100 in words is "twenty-one trillion, nine hundred thirty billion, five hundred eighty-two million, six hundred sixty thousand, one hundred".