2101101001011 has 48 divisors (see below), whose sum is σ = 3268590509184. Its totient is φ = 1347738061824.

The previous prime is 2101101001003. The next prime is 2101101001019. The reversal of 2101101001011 is 1101001011012.

It is an interprime number because it is at equal distance from previous prime (2101101001003) and next prime (2101101001019).

It is not a de Polignac number, because 2101101001011 - 2³ = 2101101001003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101101000984 and 2101101001002.

It is not an unprimeable number, because it can be changed into a prime (2101101001019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800526 + ... + 2200691.

It is an arithmetic number, because the mean of its divisors is an integer number (68095635608).

Almost surely, 2^{2101101001011} is an apocalyptic number.

2101101001011 is a deficient number, since it is larger than the sum of its proper divisors (1167489508173).

2101101001011 is an equidigital number, since it uses as much as digits as its factorization.

2101101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001342 (or 3001330 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101101001011 its reverse (1101001011012), we get a palindrome (3202102012023).

It can be divided in two parts, 210110 and 1001011, that added together give a palindrome (1211121).

The spelling of 2101101001011 in words is "two trillion, one hundred one billion, one hundred one million, one thousand, eleven".