2101000111001 has 6 divisors (see below), whose sum is σ = 2309363758506. Its totient is φ = 1910000100800.

The previous prime is 2101000110919. The next prime is 2101000111003. The reversal of 2101000111001 is 1001110001012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1854229613401 + 246770497600 = 1361701^2 + 496760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2101000111001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101000111001.

It is not an unprimeable number, because it can be changed into a prime (2101000111003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8681818520 + ... + 8681818761.

It is an arithmetic number, because the mean of its divisors is an integer number (384893959751).

Almost surely, 2^{2101000111001} is an apocalyptic number.

It is an amenable number.

2101000111001 is a deficient number, since it is larger than the sum of its proper divisors (208363647505).

2101000111001 is a wasteful number, since it uses less digits than its factorization.

2101000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363637303 (or 17363637292 counting only the distinct ones).

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

Adding to 2101000111001 its reverse (1001110001012), we get a palindrome (3102110112013).

It can be divided in two parts, 210100011 and 1001, that added together give a palindrome (210101012).

The spelling of 2101000111001 in words is "two trillion, one hundred one billion, one hundred eleven thousand, one".