100311004002 has 128 divisors (see below), whose sum is σ = 229635544320. Its totient is φ = 29174745600.

The previous prime is 100311003997. The next prime is 100311004019. The reversal of 100311004002 is 200400113001.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 41917318 + ... + 41919710.

It is an arithmetic number, because the mean of its divisors is an integer number (1794027690).

Almost surely, 2^100311004002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100311004002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114817772160).

100311004002 is an abundant number, since it is smaller than the sum of its proper divisors (129324540318).

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

100311004002 is a wasteful number, since it uses less digits than its factorization.

100311004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100311004002 its reverse (200400113001), we get a palindrome (300711117003).

The spelling of 100311004002 in words is "one hundred billion, three hundred eleven million, four thousand, two".