10213616425100 has 216 divisors, whose sum is σ = 24628344560064. Its totient is φ = 3673450880000.

The previous prime is 10213616425003. The next prime is 10213616425139. The reversal of 10213616425100 is 152461631201.

It is an unprimeable number.

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, 1347972512 + ... + 1347980088.

It is an arithmetic number, because the mean of its divisors is an integer number (114020113704).

Almost surely, 2^{10213616425100} is an apocalyptic number.

10213616425100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213616425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314172280032).

10213616425100 is an abundant number, since it is smaller than the sum of its proper divisors (14414728134964).

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

10213616425100 is a wasteful number, since it uses less digits than its factorization.

10213616425100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8817 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10213616425100 in words is "ten trillion, two hundred thirteen billion, six hundred sixteen million, four hundred twenty-five thousand, one hundred".