10201221200100 has 576 divisors, whose sum is σ = 36751154775552. Its totient is φ = 2131783680000.

The previous prime is 10201221200081. The next prime is 10201221200227. The reversal of 10201221200100 is 100212210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191075410 + ... + 191128790.

It is an arithmetic number, because the mean of its divisors is an integer number (63804088152).

Almost surely, 2^{10201221200100} is an apocalyptic number.

10201221200100 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 10201221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375577387776).

10201221200100 is an abundant number, since it is smaller than the sum of its proper divisors (26549933575452).

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

10201221200100 is a wasteful number, since it uses less digits than its factorization.

10201221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53576 (or 53569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201221200100 its reverse (100212210201), we get a palindrome (10301433410301).

It can be divided in two parts, 1020122 and 1200100, that added together give a palindrome (2220222).

The spelling of 10201221200100 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, two hundred thousand, one hundred".