10102221220200 has 96 divisors (see below), whose sum is σ = 31317489704160. Its totient is φ = 2693873708800.

The previous prime is 10102221220171. The next prime is 10102221220297. The reversal of 10102221220200 is 202212220101.

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 10102221220200.

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, 38738647 + ... + 38998553.

It is an arithmetic number, because the mean of its divisors is an integer number (326223851085).

Almost surely, 2^{10102221220200} is an apocalyptic number.

10102221220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102221220200 is an abundant number, since it is smaller than the sum of its proper divisors (21215268483960).

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

10102221220200 is a wasteful number, since it uses less digits than its factorization.

10102221220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324707 (or 324698 counting only the distinct ones).

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

Adding to 10102221220200 its reverse (202212220101), we get a palindrome (10304433440301).

Subtracting from 10102221220200 its reverse (202212220101), we obtain a palindrome (9900009000099).

The spelling of 10102221220200 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".