2111111211001 has 16 divisors (see below), whose sum is σ = 2291759050896. Its totient is φ = 1933128400896.

The previous prime is 2111111210977. The next prime is 2111111211029. The reversal of 2111111211001 is 1001121111112.

It can be written as a sum of positive squares in 8 ways, for example, as 690959937600 + 1420151273401 = 831240^2 + 1191701^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111111211001 - 2¹¹ = 2111111208953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111111211071) 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, 306130 + ... + 2077483.

It is an arithmetic number, because the mean of its divisors is an integer number (143234940681).

Almost surely, 2^{2111111211001} is an apocalyptic number.

It is an amenable number.

2111111211001 is a deficient number, since it is larger than the sum of its proper divisors (180647839895).

2111111211001 is a wasteful number, since it uses less digits than its factorization.

2111111211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384172.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2111111211001 its reverse (1001121111112), we get a palindrome (3112232322113).

The spelling of 2111111211001 in words is "two trillion, one hundred eleven billion, one hundred eleven million, two hundred eleven thousand, one".