100210012002 has 80 divisors (see below), whose sum is σ = 240238046400. Its totient is φ = 31126433760.

The previous prime is 100210011959. The next prime is 100210012009. The reversal of 100210012002 is 200210012001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100210012009) 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 39 ways as a sum of consecutive naturals, for example, 79102 + ... + 454617.

It is an arithmetic number, because the mean of its divisors is an integer number (3002975580).

Almost surely, 2^100210012002 is an apocalyptic number.

100210012002 is an abundant number, since it is smaller than the sum of its proper divisors (140028034398).

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

100210012002 is a wasteful number, since it uses less digits than its factorization.

100210012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533813 (or 533804 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100210012002 its reverse (200210012001), we get a palindrome (300420024003).

Subtracting 100210012002 from its reverse (200210012001), we obtain a palindrome (99999999999).

The spelling of 100210012002 in words is "one hundred billion, two hundred ten million, twelve thousand, two".