102221010120 has 128 divisors (see below), whose sum is σ = 309910199040. Its totient is φ = 26971607040.

The previous prime is 102221010091. The next prime is 102221010137. The reversal of 102221010120 is 21010122201.

102221010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102221010096 and 102221010105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5102844 + ... + 5122836.

It is an arithmetic number, because the mean of its divisors is an integer number (2421173430).

Almost surely, 2^102221010120 is an apocalyptic number.

102221010120 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 102221010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154955099520).

102221010120 is an abundant number, since it is smaller than the sum of its proper divisors (207689188920).

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

102221010120 is a wasteful number, since it uses less digits than its factorization.

102221010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455 (or 20451 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102221010120 its reverse (21010122201), we get a palindrome (123231132321).

The spelling of 102221010120 in words is "one hundred two billion, two hundred twenty-one million, ten thousand, one hundred twenty".