10201222012020 has 192 divisors, whose sum is σ = 32582931042816. Its totient is φ = 2362425753600.

The previous prime is 10201222012001. The next prime is 10201222012027. The reversal of 10201222012020 is 2021022210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201222012027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33675472 + ... + 33977048.

It is an arithmetic number, because the mean of its divisors is an integer number (169702765848).

Almost surely, 2^{10201222012020} is an apocalyptic number.

10201222012020 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 10201222012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291465521408).

10201222012020 is an abundant number, since it is smaller than the sum of its proper divisors (22381709030796).

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

10201222012020 is a wasteful number, since it uses less digits than its factorization.

10201222012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304170 (or 304168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10201222012020 its reverse (2021022210201), we get a palindrome (12222244222221).

The spelling of 10201222012020 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, twelve thousand, twenty".