2002102223220 has 288 divisors, whose sum is σ = 6691694196096. Its totient is φ = 480504960000.

The previous prime is 2002102223207. The next prime is 2002102223249. The reversal of 2002102223220 is 223222012002.

2002102223220 is a `hidden beast` number, since 200 + 21 + 0 + 2 + 223 + 220 = 666.

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 = 2002102223193 and 2002102223202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 86096595 + ... + 86119845.

It is an arithmetic number, because the mean of its divisors is an integer number (23235049292).

Almost surely, 2^{2002102223220} is an apocalyptic number.

2002102223220 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 2002102223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345847098048).

2002102223220 is an abundant number, since it is smaller than the sum of its proper divisors (4689591972876).

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

2002102223220 is a wasteful number, since it uses less digits than its factorization.

2002102223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23711 (or 23706 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002102223220 its reverse (223222012002), we get a palindrome (2225324235222).

The spelling of 2002102223220 in words is "two trillion, two billion, one hundred two million, two hundred twenty-three thousand, two hundred twenty".