10100300202006 has 256 divisors, whose sum is σ = 24954067353600. Its totient is φ = 2661178831488.

The previous prime is 10100300201923. The next prime is 10100300202023. The reversal of 10100300202006 is 60020200300101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8509098145 + ... + 8509099331.

It is an arithmetic number, because the mean of its divisors is an integer number (97476825600).

Almost surely, 2^{10100300202006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100300202006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477033676800).

10100300202006 is an abundant number, since it is smaller than the sum of its proper divisors (14853767151594).

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

10100300202006 is a wasteful number, since it uses less digits than its factorization.

10100300202006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10100300202006 its reverse (60020200300101), we get a palindrome (70120500502107).

The spelling of 10100300202006 in words is "ten trillion, one hundred billion, three hundred million, two hundred two thousand, six".