10221220220100 has 72 divisors (see below), whose sum is σ = 30131385842880. Its totient is φ = 2674231198080.

The previous prime is 10221220220077. The next prime is 10221220220137. The reversal of 10221220220100 is 102202212201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10221220220100.

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 23 ways as a sum of consecutive naturals, for example, 321406120 + ... + 321437919.

It is an arithmetic number, because the mean of its divisors is an integer number (418491470040).

Almost surely, 2^{10221220220100} is an apocalyptic number.

10221220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221220220100 is an abundant number, since it is smaller than the sum of its proper divisors (19910165622780).

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

10221220220100 is a wasteful number, since it uses less digits than its factorization.

10221220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642844109 (or 642844102 counting only the distinct ones).

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

Adding to 10221220220100 its reverse (102202212201), we get a palindrome (10323422432301).

The spelling of 10221220220100 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty thousand, one hundred".