21010214016100 has 81 divisors (see below), whose sum is σ = 45955986969081. Its totient is φ = 8337548762400.

The previous prime is 21010214016097. The next prime is 21010214016139. The reversal of 21010214016100 is 161041201012.

The square root of 21010214016100 is 4583690.

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., 7563677045796 + 13446536970304 = 2750214^2 + 3666952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6004632151 + ... + 6004635649.

Almost surely, 2^{21010214016100} is an apocalyptic number.

21010214016100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21010214016100 is the 4583690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010214016100

21010214016100 is an abundant number, since it is smaller than the sum of its proper divisors (24945772952981).

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

21010214016100 is an frugal number, since it uses more digits than its factorization.

21010214016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21010214016100 its reverse (161041201012), we get a palindrome (21171255217112).

The spelling of 21010214016100 in words is "twenty-one trillion, ten billion, two hundred fourteen million, sixteen thousand, one hundred".