10000100101003 has 8 divisors (see below), whose sum is σ = 10036368448272. Its totient is φ = 9963897399456.

The previous prime is 10000100100959. The next prime is 10000100101027. The reversal of 10000100101003 is 30010100100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000100101003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000100101403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16106200 + ... + 16715557.

It is an arithmetic number, because the mean of its divisors is an integer number (1254546056034).

Almost surely, 2^{10000100101003} is an apocalyptic number.

10000100101003 is a deficient number, since it is larger than the sum of its proper divisors (36268347269).

10000100101003 is an equidigital number, since it uses as much as digits as its factorization.

10000100101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32822861.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10000100101003 its reverse (30010100100001), we get a palindrome (40010200201004).

The spelling of 10000100101003 in words is "ten trillion, one hundred million, one hundred one thousand, three".