200102202221220 has 384 divisors, whose sum is σ = 686322352826880. Its totient is φ = 48089182740480.

The previous prime is 200102202221203. The next prime is 200102202221279. The reversal of 200102202221220 is 22122202201002.

200102202221220 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 220 + 2 + 221 + 220 = 666.

200102202221220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 200102202221193 and 200102202221202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 688397352 + ... + 688687968.

It is an arithmetic number, because the mean of its divisors is an integer number (1787297793820).

Almost surely, 2^{200102202221220} is an apocalyptic number.

200102202221220 is a gapful number since it is divisible by the number (20) 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 200102202221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343161176413440).

200102202221220 is an abundant number, since it is smaller than the sum of its proper divisors (486220150605660).

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

200102202221220 is a wasteful number, since it uses less digits than its factorization.

200102202221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292972 (or 292964 counting only the distinct ones).

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

Adding to 200102202221220 its reverse (22122202201002), we get a palindrome (222224404422222).

The spelling of 200102202221220 in words is "two hundred trillion, one hundred two billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty".