20102112212220 has 288 divisors, whose sum is σ = 65218765248000. Its totient is φ = 5002027333632.

The previous prime is 20102112212219. The next prime is 20102112212261. The reversal of 20102112212220 is 2221221120102.

It is a happy number.

20102112212220 is a `hidden beast` number, since 2 + 0 + 10 + 211 + 221 + 2 + 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 = 20102112212193 and 20102112212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28428597 + ... + 29127123.

It is an arithmetic number, because the mean of its divisors is an integer number (226454046000).

Almost surely, 2^{20102112212220} is an apocalyptic number.

20102112212220 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 20102112212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609382624000).

20102112212220 is an abundant number, since it is smaller than the sum of its proper divisors (45116653035780).

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

20102112212220 is a wasteful number, since it uses less digits than its factorization.

20102112212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698757 (or 698752 counting only the distinct ones).

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

Adding to 20102112212220 its reverse (2221221120102), we get a palindrome (22323333332322).

The spelling of 20102112212220 in words is "twenty trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".