20102222022120 has 640 divisors, whose sum is σ = 81809991394560. Its totient is φ = 4321883381760.

The previous prime is 20102222022107. The next prime is 20102222022121. The reversal of 20102222022120 is 2122022220102.

20102222022120 is a `hidden beast` number, since 20 + 10 + 222 + 202 + 212 + 0 = 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 = 20102222022093 and 20102222022102.

It is not an unprimeable number, because it can be changed into a prime (20102222022121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 671244987 + ... + 671274933.

It is an arithmetic number, because the mean of its divisors is an integer number (127828111554).

Almost surely, 2^{20102222022120} is an apocalyptic number.

20102222022120 is a gapful number since it is divisible by the number (20) 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 20102222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904995697280).

20102222022120 is an abundant number, since it is smaller than the sum of its proper divisors (61707769372440).

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

20102222022120 is a wasteful number, since it uses less digits than its factorization.

20102222022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31735 (or 31722 counting only the distinct ones).

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

Adding to 20102222022120 its reverse (2122022220102), we get a palindrome (22224244242222).

The spelling of 20102222022120 in words is "twenty trillion, one hundred two billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".