12101101002003 has 16 divisors (see below), whose sum is σ = 18290463054080. Its totient is φ = 7054892891424.

The previous prime is 12101101001999. The next prime is 12101101002047. The reversal of 12101101002003 is 30020010110121.

It is not a de Polignac number, because 12101101002003 - 2² = 12101101001999 is a prime.

It is a super-2 number, since 2×12101101002003² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101101002003.

It is not an unprimeable number, because it can be changed into a prime (12101101002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8165384551 + ... + 8165386032.

It is an arithmetic number, because the mean of its divisors is an integer number (1143153940880).

Almost surely, 2^{12101101002003} is an apocalyptic number.

12101101002003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12101101002003 is a deficient number, since it is larger than the sum of its proper divisors (6189362052077).

12101101002003 is a wasteful number, since it uses less digits than its factorization.

12101101002003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16330770618.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12101101002003 its reverse (30020010110121), we get a palindrome (42121111112124).

The spelling of 12101101002003 in words is "twelve trillion, one hundred one billion, one hundred one million, two thousand, three".