71216552220100 has 81 divisors (see below), whose sum is σ = 179772416571783. Its totient is φ = 24416901082560.

The previous prime is 71216552220083. The next prime is 71216552220113. The reversal of 71216552220100 is 102225561217.

The square root of 71216552220100 is 8438990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14968712199364 + 56247840020736 = 3868942^2 + 7499856^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 590669022 + ... + 590789578.

Almost surely, 2^{71216552220100} is an apocalyptic number.

71216552220100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71216552220100 is the 8438990-th square number.

It is an amenable number.

71216552220100 is an abundant number, since it is smaller than the sum of its proper divisors (108555864351683).

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

71216552220100 is an frugal number, since it uses more digits than its factorization.

71216552220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241142 (or 120571 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

Adding to 71216552220100 its reverse (102225561217), we get a palindrome (71318777781317).

The spelling of 71216552220100 in words is "seventy-one trillion, two hundred sixteen billion, five hundred fifty-two million, two hundred twenty thousand, one hundred".