20102222200122 has 384 divisors, whose sum is σ = 47265185560320. Its totient is φ = 6164504248320.

The previous prime is 20102222200121. The next prime is 20102222200129. The reversal of 20102222200122 is 22100222220102.

20102222200122 is a `hidden beast` number, since 20 + 102 + 222 + 200 + 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 = 20102222200095 and 20102222200104.

It is not an unprimeable number, because it can be changed into a prime (20102222200121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34839206298 + ... + 34839206874.

It is an arithmetic number, because the mean of its divisors is an integer number (123086420730).

Almost surely, 2^{20102222200122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102222200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632592780160).

20102222200122 is an abundant number, since it is smaller than the sum of its proper divisors (27162963360198).

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

20102222200122 is a wasteful number, since it uses less digits than its factorization.

20102222200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

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

Adding to 20102222200122 its reverse (22100222220102), we get a palindrome (42202444420224).

The spelling of 20102222200122 in words is "twenty trillion, one hundred two billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-two".