200102002122 has 128 divisors (see below), whose sum is σ = 455429744640. Its totient is φ = 58088160000.

The previous prime is 200102002097. The next prime is 200102002171. The reversal of 200102002122 is 221200201002.

200102002122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200102002122² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200102002098 and 200102002107.

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 63 ways as a sum of consecutive naturals, for example, 31160472 + ... + 31166892.

It is an arithmetic number, because the mean of its divisors is an integer number (3558044880).

Almost surely, 2^200102002122 is an apocalyptic number.

200102002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227714872320).

200102002122 is an abundant number, since it is smaller than the sum of its proper divisors (255327742518).

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

200102002122 is a wasteful number, since it uses less digits than its factorization.

200102002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200102002122 its reverse (221200201002), we get a palindrome (421302203124).

The spelling of 200102002122 in words is "two hundred billion, one hundred two million, two thousand, one hundred twenty-two".