102223110000 has 400 divisors, whose sum is σ = 363671687808. Its totient is φ = 24528000000.

The previous prime is 102223109999. The next prime is 102223110007. The reversal of 102223110000 is 11322201.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223110007) 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 79 ways as a sum of consecutive naturals, for example, 33328467 + ... + 33331533.

Almost surely, 2^102223110000 is an apocalyptic number.

102223110000 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 102223110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181835843904).

102223110000 is an abundant number, since it is smaller than the sum of its proper divisors (261448577808).

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

102223110000 is a wasteful number, since it uses less digits than its factorization.

102223110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3189 counting only the distinct ones).

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

Adding to 102223110000 its reverse (11322201), we get a palindrome (102234432201).

The spelling of 102223110000 in words is "one hundred two billion, two hundred twenty-three million, one hundred ten thousand".