100111121211003 has 24 divisors (see below), whose sum is σ = 159061572386640. Its totient is φ = 55811078023680.

The previous prime is 100111121210977. The next prime is 100111121211029. The reversal of 100111121211003 is 300112121111001.

It is an interprime number because it is at equal distance from previous prime (100111121210977) and next prime (100111121211029).

It is not a de Polignac number, because 100111121211003 - 2²⁴ = 100111104433787 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111121210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8305213918 + ... + 8305225971.

It is an arithmetic number, because the mean of its divisors is an integer number (6627565516110).

Almost surely, 2^{100111121211003} is an apocalyptic number.

100111121211003 is a deficient number, since it is larger than the sum of its proper divisors (58950451175637).

100111121211003 is a wasteful number, since it uses less digits than its factorization.

100111121211003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16610439947 (or 16610439940 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100111121211003 its reverse (300112121111001), we get a palindrome (400223242322004).

The spelling of 100111121211003 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, three".