10220211100220 has 192 divisors, whose sum is σ = 24843790540800. Its totient is φ = 3492629280000.

The previous prime is 10220211100217. The next prime is 10220211100223. The reversal of 10220211100220 is 2200111202201.

It is an interprime number because it is at equal distance from previous prime (10220211100217) and next prime (10220211100223).

It is a junction number, because it is equal to n+sod(n) for n = 10220211100195 and 10220211100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211100223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466431065 + ... + 466452975.

It is an arithmetic number, because the mean of its divisors is an integer number (129394742400).

Almost surely, 2^{10220211100220} is an apocalyptic number.

10220211100220 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 10220211100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421895270400).

10220211100220 is an abundant number, since it is smaller than the sum of its proper divisors (14623579440580).

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

10220211100220 is a wasteful number, since it uses less digits than its factorization.

10220211100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22840 (or 22838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220211100220 its reverse (2200111202201), we get a palindrome (12420322302421).

The spelling of 10220211100220 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one hundred thousand, two hundred twenty".