10201221222120 has 288 divisors, whose sum is σ = 34031042908200. Its totient is φ = 2650164507648.

The previous prime is 10201221222097. The next prime is 10201221222133. The reversal of 10201221222120 is 2122212210201.

It is a happy number.

10201221222120 is a `hidden beast` number, since 1 + 0 + 201 + 221 + 2 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7979732324964 + 2221488897156 = 2824842^2 + 1490466^2 .

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 = 10201221222093 and 10201221222102.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258914262 + ... + 258953658.

Almost surely, 2^{10201221222120} is an apocalyptic number.

10201221222120 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 10201221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015521454100).

10201221222120 is an abundant number, since it is smaller than the sum of its proper divisors (23829821686080).

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

10201221222120 is a wasteful number, since it uses less digits than its factorization.

10201221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39889 (or 39839 counting only the distinct ones).

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

Adding to 10201221222120 its reverse (2122212210201), we get a palindrome (12323433432321).

The spelling of 10201221222120 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".