102122200011200 has 336 divisors, whose sum is σ = 262637684487360. Its totient is φ = 39032770560000.

The previous prime is 102122200011199. The next prime is 102122200011233. The reversal of 102122200011200 is 2110002221201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18103560380 + ... + 18103566020.

It is an arithmetic number, because the mean of its divisors is an integer number (781659775260).

Almost surely, 2^{102122200011200} is an apocalyptic number.

102122200011200 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 102122200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131318842243680).

102122200011200 is an abundant number, since it is smaller than the sum of its proper divisors (160515484476160).

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

102122200011200 is a wasteful number, since it uses less digits than its factorization.

102122200011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122200011200 its reverse (2110002221201), we get a palindrome (104232202232401).

It can be divided in two parts, 10212220001 and 1200, that added together give a palindrome (10212221201).

The spelling of 102122200011200 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred million, eleven thousand, two hundred".