20102112221220 has 384 divisors, whose sum is σ = 66195553536000. Its totient is φ = 5050417236480.

The previous prime is 20102112221203. The next prime is 20102112221267. The reversal of 20102112221220 is 2212221120102.

It is a happy number.

20102112221220 is a `hidden beast` number, since 2 + 0 + 10 + 211 + 2 + 221 + 220 = 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 = 20102112221193 and 20102112221202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1476027571 + ... + 1476041189.

It is an arithmetic number, because the mean of its divisors is an integer number (172384254000).

Almost surely, 2^{20102112221220} is an apocalyptic number.

20102112221220 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 20102112221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33097776768000).

20102112221220 is an abundant number, since it is smaller than the sum of its proper divisors (46093441314780).

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

20102112221220 is a wasteful number, since it uses less digits than its factorization.

20102112221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14440 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102112221220 its reverse (2212221120102), we get a palindrome (22314333341322).

The spelling of 20102112221220 in words is "twenty trillion, one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".