122200102002 has 64 divisors (see below), whose sum is σ = 269771088384. Its totient is φ = 36593610240.

The previous prime is 122200101997. The next prime is 122200102007. The reversal of 122200102002 is 200201002221.

It is an interprime number because it is at equal distance from previous prime (122200101997) and next prime (122200102007).

It is not an unprimeable number, because it can be changed into a prime (122200102007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4358593 + ... + 4386539.

It is an arithmetic number, because the mean of its divisors is an integer number (4215173256).

Almost surely, 2^122200102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122200102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134885544192).

122200102002 is an abundant number, since it is smaller than the sum of its proper divisors (147570986382).

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

122200102002 is a wasteful number, since it uses less digits than its factorization.

122200102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28743.

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

Adding to 122200102002 its reverse (200201002221), we get a palindrome (322401104223).

The spelling of 122200102002 in words is "one hundred twenty-two billion, two hundred million, one hundred two thousand, two".