102200112300000 has 2304 divisors, whose sum is σ = 403462716733440. Its totient is φ = 22325760000000.

The previous prime is 102200112299981. The next prime is 102200112300029. The reversal of 102200112300000 is 3211002201.

It is a super-2 number, since 2×102200112300000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 446288699886 + ... + 446288700114.

It is an arithmetic number, because the mean of its divisors is an integer number (175114026360).

Almost surely, 2^{102200112300000} is an apocalyptic number.

102200112300000 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 102200112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201731358366720).

102200112300000 is an abundant number, since it is smaller than the sum of its proper divisors (301262604433440).

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

102200112300000 is a wasteful number, since it uses less digits than its factorization.

102200112300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102200112300000 its reverse (3211002201), we get a palindrome (102203323302201).

The spelling of 102200112300000 in words is "one hundred two trillion, two hundred billion, one hundred twelve million, three hundred thousand".