2111121000011 has 8 divisors (see below), whose sum is σ = 2127275106000. Its totient is φ = 2094967480320.

The previous prime is 2111120999909. The next prime is 2111121000049. The reversal of 2111121000011 is 1100001211112.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111121000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111120999956 and 2111121000001.

It is not an unprimeable number, because it can be changed into a prime (2111121000311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9501515 + ... + 9721163.

It is an arithmetic number, because the mean of its divisors is an integer number (265909388250).

Almost surely, 2^{2111121000011} is an apocalyptic number.

2111121000011 is a deficient number, since it is larger than the sum of its proper divisors (16154105989).

2111121000011 is a wasteful number, since it uses less digits than its factorization.

2111121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293149.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2111121000011 its reverse (1100001211112), we get a palindrome (3211122211123).

The spelling of 2111121000011 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, eleven", and thus it is an aban number.