2101001123011 has 12 divisors (see below), whose sum is σ = 2444054299200. Its totient is φ = 1800834095760.

The previous prime is 2101001123009. The next prime is 2101001123041. The reversal of 2101001123011 is 1103211001012.

It is a happy number.

It is not a de Polignac number, because 2101001123011 - 2¹ = 2101001123009 is a prime.

It is a super-2 number, since 2×2101001123011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101001122982 and 2101001123000.

It is not an unprimeable number, because it can be changed into a prime (2101001123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4109721 + ... + 4592581.

It is an arithmetic number, because the mean of its divisors is an integer number (203671191600).

Almost surely, 2^{2101001123011} is an apocalyptic number.

2101001123011 is a deficient number, since it is larger than the sum of its proper divisors (343053176189).

2101001123011 is an equidigital number, since it uses as much as digits as its factorization.

2101001123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571674 (or 571667 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2101001123011 its reverse (1103211001012), we get a palindrome (3204212124023).

The spelling of 2101001123011 in words is "two trillion, one hundred one billion, one million, one hundred twenty-three thousand, eleven".