11011012101003 has 16 divisors (see below), whose sum is σ = 14812279138080. Its totient is φ = 7275492685824.

The previous prime is 11011012100999. The next prime is 11011012101007. The reversal of 11011012101003 is 30010121011011.

It is an interprime number because it is at equal distance from previous prime (11011012100999) and next prime (11011012101007).

It is not a de Polignac number, because 11011012101003 - 2² = 11011012100999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011012101003.

It is not an unprimeable number, because it can be changed into a prime (11011012101007) 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, 35192376 + ... + 35503877.

It is an arithmetic number, because the mean of its divisors is an integer number (925767446130).

Almost surely, 2^{11011012101003} is an apocalyptic number.

11011012101003 is a deficient number, since it is larger than the sum of its proper divisors (3801267037077).

11011012101003 is a wasteful number, since it uses less digits than its factorization.

11011012101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70696718.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11011012101003 its reverse (30010121011011), we get a palindrome (41021133112014).

The spelling of 11011012101003 in words is "eleven trillion, eleven billion, twelve million, one hundred one thousand, three".