102222202011020 has 288 divisors, whose sum is σ = 269800046208000. Its totient is φ = 32246223883776.

The previous prime is 102222202010983. The next prime is 102222202011047. The reversal of 102222202011020 is 20110202222201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102222202011020.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13277331131 + ... + 13277338829.

It is an arithmetic number, because the mean of its divisors is an integer number (936805716000).

Almost surely, 2^{102222202011020} is an apocalyptic number.

102222202011020 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 102222202011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134900023104000).

102222202011020 is an abundant number, since it is smaller than the sum of its proper divisors (167577844196980).

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

102222202011020 is a wasteful number, since it uses less digits than its factorization.

102222202011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102222202011020 its reverse (20110202222201), we get a palindrome (122332404233221).

The spelling of 102222202011020 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two million, eleven thousand, twenty".