2101001001011 has 4 divisors (see below), whose sum is σ = 2292001092024. Its totient is φ = 1910000910000.

The previous prime is 2101001000993. The next prime is 2101001001019. The reversal of 2101001001011 is 1101001001012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2101001001011 - 2¹⁴ = 2101000984627 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 2101001001011.

It is not an unprimeable number, because it can be changed into a prime (2101001001019) 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, 95500045490 + ... + 95500045511.

It is an arithmetic number, because the mean of its divisors is an integer number (573000273006).

Almost surely, 2^{2101001001011} is an apocalyptic number.

2101001001011 is a deficient number, since it is larger than the sum of its proper divisors (191000091013).

2101001001011 is a wasteful number, since it uses less digits than its factorization.

2101001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191000091012.

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

Adding to 2101001001011 its reverse (1101001001012), we get a palindrome (3202002002023).

Subtracting from 2101001001011 its reverse (1101001001012), we obtain a palindrome (999999999999).

The spelling of 2101001001011 in words is "two trillion, one hundred one billion, one million, one thousand, eleven".