102002021022220 has 384 divisors, whose sum is σ = 252404232192000. Its totient is φ = 34215229440000.

The previous prime is 102002021022197. The next prime is 102002021022247. The reversal of 102002021022220 is 22220120200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002021022194 and 102002021022203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23938514890 + ... + 23938519150.

It is an arithmetic number, because the mean of its divisors is an integer number (657302688000).

Almost surely, 2^{102002021022220} is an apocalyptic number.

102002021022220 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 102002021022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126202116096000).

102002021022220 is an abundant number, since it is smaller than the sum of its proper divisors (150402211169780).

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

102002021022220 is a wasteful number, since it uses less digits than its factorization.

102002021022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102002021022220 its reverse (22220120200201), we get a palindrome (124222141222421).

The spelling of 102002021022220 in words is "one hundred two trillion, two billion, twenty-one million, twenty-two thousand, two hundred twenty".