100200022012002 has 128 divisors (see below), whose sum is σ = 231790994288640. Its totient is φ = 28578149600000.

The previous prime is 100200022011923. The next prime is 100200022012003. The reversal of 100200022012002 is 200210220002001.

It is a super-2 number, since 2×100200022012002² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100200022012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53945752 + ... + 55772252.

It is an arithmetic number, because the mean of its divisors is an integer number (1810867142880).

Almost surely, 2^{100200022012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200022012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115895497144320).

100200022012002 is an abundant number, since it is smaller than the sum of its proper divisors (131590972276638).

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

100200022012002 is a wasteful number, since it uses less digits than its factorization.

100200022012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827120.

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

Adding to 100200022012002 its reverse (200210220002001), we get a palindrome (300410242014003).

The spelling of 100200022012002 in words is "one hundred trillion, two hundred billion, twenty-two million, twelve thousand, two".