102322121000 has 128 divisors (see below), whose sum is σ = 270208224000. Its totient is φ = 35924896000.

The previous prime is 102322120993. The next prime is 102322121003. The reversal of 102322121000 is 121223201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102322121003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158621 + ... + 479379.

It is an arithmetic number, because the mean of its divisors is an integer number (2111001750).

Almost surely, 2^102322121000 is an apocalyptic number.

102322121000 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 102322121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135104112000).

102322121000 is an abundant number, since it is smaller than the sum of its proper divisors (167886103000).

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

102322121000 is a wasteful number, since it uses less digits than its factorization.

102322121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320820 (or 320806 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102322121000 its reverse (121223201), we get a palindrome (102443344201).

It can be divided in two parts, 102322 and 121000, that added together give a palindrome (223322).

The spelling of 102322121000 in words is "one hundred two billion, three hundred twenty-two million, one hundred twenty-one thousand".