10201100008 has 128 divisors (see below), whose sum is σ = 21749109120. Its totient is φ = 4446351360.

The previous prime is 10201099919. The next prime is 10201100009. The reversal of 10201100008 is 80000110201.

It is not an unprimeable number, because it can be changed into a prime (10201100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58965810 + ... + 58965982.

It is an arithmetic number, because the mean of its divisors is an integer number (169914915).

Almost surely, 2^10201100008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874554560).

10201100008 is an abundant number, since it is smaller than the sum of its proper divisors (11548009112).

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

10201100008 is a wasteful number, since it uses less digits than its factorization.

10201100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201100008 its reverse (80000110201), we get a palindrome (90201210209).

The spelling of 10201100008 in words is "ten billion, two hundred one million, one hundred thousand, eight".