10100001011003 has 8 divisors (see below), whose sum is σ = 10286962484400. Its totient is φ = 9914672389248.

The previous prime is 10100001010969. The next prime is 10100001011021. The reversal of 10100001011003 is 30011010000101.

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

It is a cyclic number.

It is not a de Polignac number, because 10100001011003 - 2¹⁴ = 10100000994619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001011033) 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, 408200426 + ... + 408225167.

It is an arithmetic number, because the mean of its divisors is an integer number (1285870310550).

Almost surely, 2^{10100001011003} is an apocalyptic number.

10100001011003 is a deficient number, since it is larger than the sum of its proper divisors (186961473397).

10100001011003 is an equidigital number, since it uses as much as digits as its factorization.

10100001011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816425821.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100001011003 its reverse (30011010000101), we get a palindrome (40111011011104).

The spelling of 10100001011003 in words is "ten trillion, one hundred billion, one million, eleven thousand, three".