102210448939800 has 768 divisors, whose sum is σ = 358020228096000. Its totient is φ = 23984226140160.

The previous prime is 102210448939721. The next prime is 102210448939801. The reversal of 102210448939800 is 8939844012201.

102210448939800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210448939801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3344676921 + ... + 3344707479.

It is an arithmetic number, because the mean of its divisors is an integer number (466172172000).

Almost surely, 2^{102210448939800} is an apocalyptic number.

102210448939800 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 102210448939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179010114048000).

102210448939800 is an abundant number, since it is smaller than the sum of its proper divisors (255809779156200).

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

102210448939800 is a wasteful number, since it uses less digits than its factorization.

102210448939800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30940 (or 30931 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 102210448939800 in words is "one hundred two trillion, two hundred ten billion, four hundred forty-eight million, nine hundred thirty-nine thousand, eight hundred".