10221202122120 has 320 divisors, whose sum is σ = 37751319302400. Its totient is φ = 2459779384320.

The previous prime is 10221202122091. The next prime is 10221202122121. The reversal of 10221202122120 is 2122120212201.

It is a happy number.

10221202122120 is a `hidden beast` number, since 1 + 0 + 221 + 20 + 212 + 212 + 0 = 666.

10221202122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10221202122093 and 10221202122102.

It is not an unprimeable number, because it can be changed into a prime (10221202122121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3836001 + ... + 5929359.

It is an arithmetic number, because the mean of its divisors is an integer number (117972872820).

Almost surely, 2^{10221202122120} is an apocalyptic number.

10221202122120 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 10221202122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875659651200).

10221202122120 is an abundant number, since it is smaller than the sum of its proper divisors (27530117180280).

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

10221202122120 is a wasteful number, since it uses less digits than its factorization.

10221202122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093530 (or 2093517 counting only the distinct ones).

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

Adding to 10221202122120 its reverse (2122120212201), we get a palindrome (12343322334321).

The spelling of 10221202122120 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".