20102202120 has 512 divisors, whose sum is σ = 83177902080. Its totient is φ = 3750727680.

The previous prime is 20102202091. The next prime is 20102202121. The reversal of 20102202120 is 2120220102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20102202096 and 20102202105.

It is not an unprimeable number, because it can be changed into a prime (20102202121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4442179 + ... + 4446701.

It is an arithmetic number, because the mean of its divisors is an integer number (162456840).

Almost surely, 2^20102202120 is an apocalyptic number.

20102202120 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 20102202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41588951040).

20102202120 is an abundant number, since it is smaller than the sum of its proper divisors (63075699960).

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

20102202120 is a wasteful number, since it uses less digits than its factorization.

20102202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20102202120 its reverse (2120220102), we get a palindrome (22222422222).

It can be divided in two parts, 20102 and 202120, that added together give a palindrome (222222).

The spelling of 20102202120 in words is "twenty billion, one hundred two million, two hundred two thousand, one hundred twenty".