2111101000001 has 4 divisors (see below), whose sum is σ = 2412686857152. Its totient is φ = 1809515142852.

The previous prime is 2111100999947. The next prime is 2111101000009. The reversal of 2111101000001 is 1000001011112.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2111101000001 - 2³⁴ = 2093921130817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111101000009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150792928565 + ... + 150792928578.

It is an arithmetic number, because the mean of its divisors is an integer number (603171714288).

Almost surely, 2^{2111101000001} is an apocalyptic number.

It is an amenable number.

2111101000001 is a deficient number, since it is larger than the sum of its proper divisors (301585857151).

2111101000001 is an equidigital number, since it uses as much as digits as its factorization.

2111101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301585857150.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2111101000001 its reverse (1000001011112), we get a palindrome (3111102011113).

The spelling of 2111101000001 in words is "two trillion, one hundred eleven billion, one hundred one million, one", and thus it is an aban number.