100022233201002 has 96 divisors (see below), whose sum is σ = 249561244208640. Its totient is φ = 28360207257120.

The previous prime is 100022233200997. The next prime is 100022233201031. The reversal of 100022233201002 is 200102332220001.

100022233201002 is a `hidden beast` number, since 10 + 0 + 0 + 222 + 332 + 0 + 100 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40321353 + ... + 42730035.

It is an arithmetic number, because the mean of its divisors is an integer number (2599596293840).

Almost surely, 2^{100022233201002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022233201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124780622104320).

100022233201002 is an abundant number, since it is smaller than the sum of its proper divisors (149539011007638).

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

100022233201002 is a wasteful number, since it uses less digits than its factorization.

100022233201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411208 (or 2411205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100022233201002 its reverse (200102332220001), we get a palindrome (300124565421003).

The spelling of 100022233201002 in words is "one hundred trillion, twenty-two billion, two hundred thirty-three million, two hundred one thousand, two".