102122111200 has 144 divisors (see below), whose sum is σ = 256465772640. Its totient is φ = 39684096000.

The previous prime is 102122111173. The next prime is 102122111207. The reversal of 102122111200 is 2111221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7898341 + ... + 7911259.

It is an arithmetic number, because the mean of its divisors is an integer number (1781012310).

Almost surely, 2^102122111200 is an apocalyptic number.

102122111200 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 102122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128232886320).

102122111200 is an abundant number, since it is smaller than the sum of its proper divisors (154343661440).

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

102122111200 is a wasteful number, since it uses less digits than its factorization.

102122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13221 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102122111200 its reverse (2111221201), we get a palindrome (104233332401).

The spelling of 102122111200 in words is "one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".