2011120100213 has 16 divisors (see below), whose sum is σ = 2435630160000. Its totient is φ = 1622129654592.

The previous prime is 2011120100183. The next prime is 2011120100221. The reversal of 2011120100213 is 3120010211102.

It is a cyclic number.

It is not a de Polignac number, because 2011120100213 - 2⁸ = 2011120099957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120100263) 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, 50722478 + ... + 50762111.

It is an arithmetic number, because the mean of its divisors is an integer number (152226885000).

Almost surely, 2^{2011120100213} is an apocalyptic number.

It is an amenable number.

2011120100213 is a deficient number, since it is larger than the sum of its proper divisors (424510059787).

2011120100213 is a wasteful number, since it uses less digits than its factorization.

2011120100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101484764.

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

Adding to 2011120100213 its reverse (3120010211102), we get a palindrome (5131130311315).

The spelling of 2011120100213 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thousand, two hundred thirteen".