10210201122220 has 192 divisors, whose sum is σ = 23941092188160. Its totient is φ = 3626498304000.

The previous prime is 10210201122217. The next prime is 10210201122263. The reversal of 10210201122220 is 2222110201201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10210201122194 and 10210201122203.

It is an unprimeable number.

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, 4172537037 + ... + 4172539483.

It is an arithmetic number, because the mean of its divisors is an integer number (124693188480).

Almost surely, 2^{10210201122220} is an apocalyptic number.

10210201122220 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 10210201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970546094080).

10210201122220 is an abundant number, since it is smaller than the sum of its proper divisors (13730891065940).

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

10210201122220 is a wasteful number, since it uses less digits than its factorization.

10210201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5022 counting only the distinct ones).

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

Adding to 10210201122220 its reverse (2222110201201), we get a palindrome (12432311323421).

The spelling of 10210201122220 in words is "ten trillion, two hundred ten billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".