2111121200011 has 8 divisors (see below), whose sum is σ = 2204328939120. Its totient is φ = 2019274158048.

The previous prime is 2111121199991. The next prime is 2111121200021. The reversal of 2111121200011 is 1100021211112.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 2111121200011 - 2¹⁹ = 2111120675723 is a prime.

It is a super-2 number, since 2×2111121200011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111121199964 and 2111121200000.

It is not an unprimeable number, because it can be changed into a prime (2111121200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340171116 + ... + 340177321.

It is an arithmetic number, because the mean of its divisors is an integer number (275541117390).

Almost surely, 2^{2111121200011} is an apocalyptic number.

2111121200011 is a deficient number, since it is larger than the sum of its proper divisors (93207739109).

2111121200011 is a wasteful number, since it uses less digits than its factorization.

2111121200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680348573.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2111121200011 its reverse (1100021211112), we get a palindrome (3211142411123).

It can be divided in two parts, 2111121 and 200011, that added together give a palindrome (2311132).

The spelling of 2111121200011 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred thousand, eleven".