102122222020 has 144 divisors (see below), whose sum is σ = 269040305520. Its totient is φ = 32274256896.

The previous prime is 102122222017. The next prime is 102122222093. The reversal of 102122222020 is 20222221201.

102122222020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16441907076 + 85680314944 = 128226^2 + 292712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102122221985 and 102122222003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9638886 + ... + 9649474.

It is an arithmetic number, because the mean of its divisors is an integer number (1868335455).

Almost surely, 2^102122222020 is an apocalyptic number.

102122222020 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 102122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134520152760).

102122222020 is an abundant number, since it is smaller than the sum of its proper divisors (166918083500).

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

102122222020 is a wasteful number, since it uses less digits than its factorization.

102122222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11373 counting only the distinct ones).

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

Adding to 102122222020 its reverse (20222221201), we get a palindrome (122344443221).

The spelling of 102122222020 in words is "one hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".