10011101002003 has 24 divisors (see below), whose sum is σ = 10766863696608. Its totient is φ = 9303717241728.

The previous prime is 10011101001983. The next prime is 10011101002033. The reversal of 10011101002003 is 30020010111001.

It is not a de Polignac number, because 10011101002003 - 2⁵ = 10011101001971 is a prime.

It is a super-4 number, since 4×10011101002003⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011101002033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125338626 + ... + 125418472.

It is an arithmetic number, because the mean of its divisors is an integer number (448619320692).

Almost surely, 2^{10011101002003} is an apocalyptic number.

10011101002003 is a deficient number, since it is larger than the sum of its proper divisors (755762694605).

10011101002003 is an equidigital number, since it uses as much as digits as its factorization.

10011101002003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86491 (or 86472 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10011101002003 its reverse (30020010111001), we get a palindrome (40031111113004).

The spelling of 10011101002003 in words is "ten trillion, eleven billion, one hundred one million, two thousand, three".