102012200056 has 64 divisors (see below), whose sum is σ = 211649518080. Its totient is φ = 45789235200.

The previous prime is 102012200011. The next prime is 102012200057. The reversal of 102012200056 is 650002210201.

It is a super-3 number, since 3×102012200056³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012200057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11143081 + ... + 11152231.

It is an arithmetic number, because the mean of its divisors is an integer number (3307023720).

Almost surely, 2^102012200056 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 102012200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105824759040).

102012200056 is an abundant number, since it is smaller than the sum of its proper divisors (109637318024).

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

102012200056 is a wasteful number, since it uses less digits than its factorization.

102012200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 102012200056 its reverse (650002210201), we get a palindrome (752014410257).

The spelling of 102012200056 in words is "one hundred two billion, twelve million, two hundred thousand, fifty-six".