10121220021220 has 192 divisors, whose sum is σ = 27484863598080. Its totient is φ = 3039012864000.

The previous prime is 10121220021193. The next prime is 10121220021221. The reversal of 10121220021220 is 2212002212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10121220021194 and 10121220021203.

It is not an unprimeable number, because it can be changed into a prime (10121220021221) 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 63 ways as a sum of consecutive naturals, for example, 4875636 + ... + 6634324.

It is an arithmetic number, because the mean of its divisors is an integer number (143150331240).

Almost surely, 2^{10121220021220} is an apocalyptic number.

10121220021220 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 10121220021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742431799040).

10121220021220 is an abundant number, since it is smaller than the sum of its proper divisors (17363643576860).

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

10121220021220 is a wasteful number, since it uses less digits than its factorization.

10121220021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758854 (or 1758852 counting only the distinct ones).

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

Adding to 10121220021220 its reverse (2212002212101), we get a palindrome (12333222233321).

The spelling of 10121220021220 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, twenty-one thousand, two hundred twenty".