10213220120220 has 384 divisors, whose sum is σ = 34549901568000. Its totient is φ = 2489723744256.

The previous prime is 10213220120219. The next prime is 10213220120221. The reversal of 10213220120220 is 2202102231201.

10213220120220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 322 + 0 + 120 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (10213220120219) and next prime (10213220120221).

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 = 10213220120193 and 10213220120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213220120221) 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, 1109766139 + ... + 1109775341.

It is an arithmetic number, because the mean of its divisors is an integer number (89973702000).

Almost surely, 2^{10213220120220} is an apocalyptic number.

10213220120220 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 10213220120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274950784000).

10213220120220 is an abundant number, since it is smaller than the sum of its proper divisors (24336681447780).

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

10213220120220 is a wasteful number, since it uses less digits than its factorization.

10213220120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10746 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213220120220 its reverse (2202102231201), we get a palindrome (12415322351421).

The spelling of 10213220120220 in words is "ten trillion, two hundred thirteen billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".