10011001100003 has 16 divisors (see below), whose sum is σ = 10806388070400. Its totient is φ = 9245465127360.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001100003 is 30000110011001.

10011001100003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011001100003 - 2³² = 10006706132707 is a prime.

It is a super-2 number, since 2×10011001100003² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011001100603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41571251 + ... + 41811372.

It is an arithmetic number, because the mean of its divisors is an integer number (675399254400).

Almost surely, 2^{10011001100003} is an apocalyptic number.

10011001100003 is a deficient number, since it is larger than the sum of its proper divisors (795386970397).

10011001100003 is an equidigital number, since it uses as much as digits as its factorization.

10011001100003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83382802.

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

Adding to 10011001100003 its reverse (30000110011001), we get a palindrome (40011111111004).

The spelling of 10011001100003 in words is "ten trillion, eleven billion, one million, one hundred thousand, three".