100220012002 has 12 divisors (see below), whose sum is σ = 165238780518. Its totient is φ = 45554550800.

The previous prime is 100220011999. The next prime is 100220012023. The reversal of 100220012002 is 200210022001.

100220012002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55563446961 + 44656565041 = 235719^2 + 211321^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100220012002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207065899 + ... + 207066382.

Almost surely, 2^100220012002 is an apocalyptic number.

100220012002 is a deficient number, since it is larger than the sum of its proper divisors (65018768516).

100220012002 is a wasteful number, since it uses less digits than its factorization.

100220012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414132305 (or 414132294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100220012002 its reverse (200210022001), we get a palindrome (300430034003).

Subtracting 100220012002 from its reverse (200210022001), we obtain a palindrome (99990009999).

It can be divided in two parts, 10022001 and 2002, that multiplied together give a palindrome (20064046002).

The spelling of 100220012002 in words is "one hundred billion, two hundred twenty million, twelve thousand, two".