100310212002 has 256 divisors, whose sum is σ = 285805449216. Its totient is φ = 22588416000.

The previous prime is 100310211973. The next prime is 100310212027. The reversal of 100310212002 is 200212013001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77698977 + ... + 77700267.

It is an arithmetic number, because the mean of its divisors is an integer number (1116427536).

Almost surely, 2^100310212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100310212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142902724608).

100310212002 is an abundant number, since it is smaller than the sum of its proper divisors (185495237214).

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

100310212002 is a wasteful number, since it uses less digits than its factorization.

100310212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105.

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

Adding to 100310212002 its reverse (200212013001), we get a palindrome (300522225003).

The spelling of 100310212002 in words is "one hundred billion, three hundred ten million, two hundred twelve thousand, two".