10000201100910 has 32 divisors (see below), whose sum is σ = 24649144337952. Its totient is φ = 2594646771840.

The previous prime is 10000201100881. The next prime is 10000201100963. The reversal of 10000201100910 is 1900110200001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10000201100910.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4504593981 + ... + 4504596200.

It is an arithmetic number, because the mean of its divisors is an integer number (770285760561).

Almost surely, 2^{10000201100910} is an apocalyptic number.

10000201100910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000201100910 is an abundant number, since it is smaller than the sum of its proper divisors (14648943237042).

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

10000201100910 is a wasteful number, since it uses less digits than its factorization.

10000201100910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009190228.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10000201100910 its reverse (1900110200001), we get a palindrome (11900311300911).

The spelling of 10000201100910 in words is "ten trillion, two hundred one million, one hundred thousand, nine hundred ten".