10210221222120 has 256 divisors, whose sum is σ = 36079598016000. Its totient is φ = 2559470358528.

The previous prime is 10210221222119. The next prime is 10210221222121. The reversal of 10210221222120 is 2122212201201.

It is a happy number.

10210221222120 is a `hidden beast` number, since 1 + 0 + 210 + 2 + 212 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10210221222119) and next prime (10210221222121).

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 = 10210221222093 and 10210221222102.

It is not an unprimeable number, because it can be changed into a prime (10210221222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14885029 + ... + 15555851.

It is an arithmetic number, because the mean of its divisors is an integer number (140935929750).

Almost surely, 2^{10210221222120} is an apocalyptic number.

10210221222120 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 10210221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039799008000).

10210221222120 is an abundant number, since it is smaller than the sum of its proper divisors (25869376793880).

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

10210221222120 is a wasteful number, since it uses less digits than its factorization.

10210221222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671689 (or 671679 counting only the distinct ones).

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

Adding to 10210221222120 its reverse (2122212201201), we get a palindrome (12332433423321).

The spelling of 10210221222120 in words is "ten trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".