102112101002200 has 192 divisors, whose sum is σ = 253482472958400. Its totient is φ = 38121155788800.

The previous prime is 102112101002167. The next prime is 102112101002209. The reversal of 102112101002200 is 2200101211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112101002209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238830216 + ... + 239257384.

It is an arithmetic number, because the mean of its divisors is an integer number (1320221213325).

Almost surely, 2^{102112101002200} is an apocalyptic number.

102112101002200 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 102112101002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741236479200).

102112101002200 is an abundant number, since it is smaller than the sum of its proper divisors (151370371956200).

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

102112101002200 is a wasteful number, since it uses less digits than its factorization.

102112101002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427790 (or 427781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112101002200 its reverse (2200101211201), we get a palindrome (104312202213401).

The spelling of 102112101002200 in words is "one hundred two trillion, one hundred twelve billion, one hundred one million, two thousand, two hundred".