202122220122 has 96 divisors (see below), whose sum is σ = 469746006912. Its totient is φ = 62646452352.

The previous prime is 202122220087. The next prime is 202122220123. The reversal of 202122220122 is 221022221202.

202122220122 is a `hidden beast` number, since 202 + 122 + 220 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202122220095 and 202122220104.

It is not an unprimeable number, because it can be changed into a prime (202122220123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18943033 + ... + 18953699.

It is an arithmetic number, because the mean of its divisors is an integer number (4893187572).

Almost surely, 2^202122220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234873003456).

202122220122 is an abundant number, since it is smaller than the sum of its proper divisors (267623786790).

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

202122220122 is a wasteful number, since it uses less digits than its factorization.

202122220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202122220122 its reverse (221022221202), we get a palindrome (423144441324).

The spelling of 202122220122 in words is "two hundred two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-two".