10213201122100 has 72 divisors (see below), whose sum is σ = 23295045146688. Its totient is φ = 3879136377600.

The previous prime is 10213201122079. The next prime is 10213201122109. The reversal of 10213201122100 is 122110231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213201122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15891186 + ... + 16521385.

It is an arithmetic number, because the mean of its divisors is an integer number (323542293704).

Almost surely, 2^{10213201122100} is an apocalyptic number.

10213201122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213201122100 is an abundant number, since it is smaller than the sum of its proper divisors (13081844024588).

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

10213201122100 is a wasteful number, since it uses less digits than its factorization.

10213201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32412745 (or 32412738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10213201122100 its reverse (122110231201), we get a palindrome (10335311353301).

The spelling of 10213201122100 in words is "ten trillion, two hundred thirteen billion, two hundred one million, one hundred twenty-two thousand, one hundred".