112003101300211 has 48 divisors (see below), whose sum is σ = 125903400138432. Its totient is φ = 99538373975040.

The previous prime is 112003101300203. The next prime is 112003101300221.

It is a happy number.

112003101300211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112003101300211 - 2³ = 112003101300203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112003101300221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782876761 + ... + 783019813.

It is an arithmetic number, because the mean of its divisors is an integer number (2622987502884).

Almost surely, 2^{112003101300211} is an apocalyptic number.

112003101300211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112003101300211 is a deficient number, since it is larger than the sum of its proper divisors (13900298838221).

112003101300211 is a wasteful number, since it uses less digits than its factorization.

112003101300211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143932 (or 143921 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 11200310 and 1300211, that added together give a palindrome (12500521).

The spelling of 112003101300211 in words is "one hundred twelve trillion, three billion, one hundred one million, three hundred thousand, two hundred eleven".