102222020 has 48 divisors (see below), whose sum is σ = 232869168. Its totient is φ = 37539840.

The previous prime is 102221989. The next prime is 102222023. The reversal of 102222020 is 20222201.

It can be written as a sum of positive squares in 8 ways, for example, as 28536964 + 73685056 = 5342^2 + 8584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102221992 and 102222010.

It is not an unprimeable number, because it can be changed into a prime (102222023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10274 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (4851441).

Almost surely, 2^102222020 is an apocalyptic number.

102222020 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 102222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116434584).

102222020 is an abundant number, since it is smaller than the sum of its proper divisors (130647148).

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

102222020 is a wasteful number, since it uses less digits than its factorization.

102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102222020 is about 10110.4905914599. The cubic root of 102222020 is about 467.5716305734.

Adding to 102222020 its reverse (20222201), we get a palindrome (122444221).

The spelling of 102222020 in words is "one hundred two million, two hundred twenty-two thousand, twenty".