102222101013200 has 180 divisors, whose sum is σ = 285821960018400. Its totient is φ = 35030737969920.

The previous prime is 102222101013181. The next prime is 102222101013203. The reversal of 102222101013200 is 2310101222201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222101013203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39574901 + ... + 42078699.

It is an arithmetic number, because the mean of its divisors is an integer number (1587899777880).

Almost surely, 2^{102222101013200} is an apocalyptic number.

102222101013200 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 102222101013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142910980009200).

102222101013200 is an abundant number, since it is smaller than the sum of its proper divisors (183599859005200).

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

102222101013200 is a wasteful number, since it uses less digits than its factorization.

102222101013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505914 (or 2505896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102222101013200 its reverse (2310101222201), we get a palindrome (104532202235401).

The spelling of 102222101013200 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred one million, thirteen thousand, two hundred".