10011122102003 has 8 divisors (see below), whose sum is σ = 10921676606976. Its totient is φ = 9100643013000.

The previous prime is 10011122101907. The next prime is 10011122102017. The reversal of 10011122102003 is 30020122111001.

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

It is not a de Polignac number, because 10011122102003 - 2¹⁶ = 10011122036467 is a prime.

It is a super-2 number, since 2×10011122102003² (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 (10011122102063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18576251 + ... + 19107572.

It is an arithmetic number, because the mean of its divisors is an integer number (1365209575872).

Almost surely, 2^{10011122102003} is an apocalyptic number.

10011122102003 is a deficient number, since it is larger than the sum of its proper divisors (910554504973).

10011122102003 is a wasteful number, since it uses less digits than its factorization.

10011122102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37707985.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10011122102003 its reverse (30020122111001), we get a palindrome (40031244213004).

The spelling of 10011122102003 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred two thousand, three".