7121672100 has 243 divisors, whose sum is σ = 23359564137. Its totient is φ = 1814722560.

The previous prime is 7121672087. The next prime is 7121672101. The reversal of 7121672100 is 12761217.

The square root of 7121672100 is 84390.

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 4738670244 + 2383001856 = 68838^2 + 48816^2 .

It is not an unprimeable number, because it can be changed into a prime (7121672101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73419252 + ... + 73419348.

Almost surely, 2^7121672100 is an apocalyptic number.

7121672100 is the 84390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121672100

7121672100 is an abundant number, since it is smaller than the sum of its proper divisors (16237892037).

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

7121672100 is a wasteful number, since it uses less digits than its factorization.

7121672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The cubic root of 7121672100 is about 1923.9509300492.

The spelling of 7121672100 in words is "seven billion, one hundred twenty-one million, six hundred seventy-two thousand, one hundred".