10200221222220 has 36 divisors (see below), whose sum is σ = 30940671041280. Its totient is φ = 2720058992544.

The previous prime is 10200221222201. The next prime is 10200221222293. The reversal of 10200221222220 is 2222212200201.

10200221222220 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 221 + 222 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10200221222193 and 10200221222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28333947660 + ... + 28333948019.

It is an arithmetic number, because the mean of its divisors is an integer number (859463084480).

Almost surely, 2^{10200221222220} is an apocalyptic number.

10200221222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221222220 is an abundant number, since it is smaller than the sum of its proper divisors (20740449819060).

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

10200221222220 is a wasteful number, since it uses less digits than its factorization.

10200221222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56667895694 (or 56667895689 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10200221222220 its reverse (2222212200201), we get a palindrome (12422433422421).

The spelling of 10200221222220 in words is "ten trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".