10220102112220 has 288 divisors, whose sum is σ = 29072751168384. Its totient is φ = 2936596101120.

The previous prime is 10220102112149. The next prime is 10220102112221. The reversal of 10220102112220 is 2221120102201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220102112194 and 10220102112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220102112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170200042 + ... + 170260078.

It is an arithmetic number, because the mean of its divisors is an integer number (100947052668).

Almost surely, 2^{10220102112220} is an apocalyptic number.

10220102112220 is a gapful number since it is divisible by the number (10) 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 10220102112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536375584192).

10220102112220 is an abundant number, since it is smaller than the sum of its proper divisors (18852649056164).

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

10220102112220 is a wasteful number, since it uses less digits than its factorization.

10220102112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60861 (or 60848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220102112220 its reverse (2221120102201), we get a palindrome (12441222214421).

The spelling of 10220102112220 in words is "ten trillion, two hundred twenty billion, one hundred two million, one hundred twelve thousand, two hundred twenty".