7121010600 has 288 divisors, whose sum is σ = 26246132640. Its totient is φ = 1715904000.

The previous prime is 7121010599. The next prime is 7121010601. The reversal of 7121010600 is 60101217.

It is an interprime number because it is at equal distance from previous prime (7121010599) and next prime (7121010601).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (7121010601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3582807 + ... + 3584793.

It is an arithmetic number, because the mean of its divisors is an integer number (91132405).

Almost surely, 2^7121010600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123066320).

7121010600 is an abundant number, since it is smaller than the sum of its proper divisors (19125122040).

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

7121010600 is a wasteful number, since it uses less digits than its factorization.

7121010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 7121010600 is about 84386.0806057492. The cubic root of 7121010600 is about 1923.8913591634.

Adding to 7121010600 its reverse (60101217), we get a palindrome (7181111817).

It can be divided in two parts, 71210 and 10600, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 7121010600 in words is "seven billion, one hundred twenty-one million, ten thousand, six hundred".