102221200102120 has 256 divisors, whose sum is σ = 264460861716480. Its totient is φ = 35196104064000.

The previous prime is 102221200102081. The next prime is 102221200102163. The reversal of 102221200102120 is 21201002122201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102221200102094 and 102221200102103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9406564927 + ... + 9406575793.

It is an arithmetic number, because the mean of its divisors is an integer number (1033050241080).

Almost surely, 2^{102221200102120} is an apocalyptic number.

102221200102120 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 102221200102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132230430858240).

102221200102120 is an abundant number, since it is smaller than the sum of its proper divisors (162239661614360).

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

102221200102120 is a wasteful number, since it uses less digits than its factorization.

102221200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20216 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221200102120 its reverse (21201002122201), we get a palindrome (123422202224321).

The spelling of 102221200102120 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred twenty".