102000121120 has 192 divisors, whose sum is σ = 251073478656. Its totient is φ = 39132011520.

The previous prime is 102000121087. The next prime is 102000121133. The reversal of 102000121120 is 21121000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102000121097 and 102000121106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93491775 + ... + 93492865.

It is an arithmetic number, because the mean of its divisors is an integer number (1307674368).

Almost surely, 2^102000121120 is an apocalyptic number.

102000121120 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 102000121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125536739328).

102000121120 is an abundant number, since it is smaller than the sum of its proper divisors (149073357536).

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

102000121120 is a wasteful number, since it uses less digits than its factorization.

102000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102000121120 its reverse (21121000201), we get a palindrome (123121121321).

The spelling of 102000121120 in words is "one hundred two billion, one hundred twenty-one thousand, one hundred twenty".