66213202350100 has 144 divisors (see below), whose sum is σ = 157599620478720. Its totient is φ = 23998948646400.

The previous prime is 66213202350083. The next prime is 66213202350173. The reversal of 66213202350100 is 105320231266.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15903735 + ... + 19630465.

It is an arithmetic number, because the mean of its divisors is an integer number (1094441808880).

Almost surely, 2^{66213202350100} 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 66213202350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78799810239360).

66213202350100 is an abundant number, since it is smaller than the sum of its proper divisors (91386418128620).

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

66213202350100 is a wasteful number, since it uses less digits than its factorization.

66213202350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727010 (or 3727003 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 66213202350100 its reverse (105320231266), we get a palindrome (66318522581366).

The spelling of 66213202350100 in words is "sixty-six trillion, two hundred thirteen billion, two hundred two million, three hundred fifty thousand, one hundred".