2101101111011 has 32 divisors (see below), whose sum is σ = 2453382038016. Its totient is φ = 1762344000000.

The previous prime is 2101101110957. The next prime is 2101101111023. The reversal of 2101101111011 is 1101111011012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101101111011 - 2¹⁸ = 2101100848867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101101110983 and 2101101111001.

It is not an unprimeable number, because it can be changed into a prime (2101101111041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26355611 + ... + 26435211.

It is an arithmetic number, because the mean of its divisors is an integer number (76668188688).

Almost surely, 2^{2101101111011} is an apocalyptic number.

2101101111011 is a deficient number, since it is larger than the sum of its proper divisors (352280927005).

2101101111011 is a wasteful number, since it uses less digits than its factorization.

2101101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80123.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2101101111011 its reverse (1101111011012), we get a palindrome (3202212122023).

Subtracting from 2101101111011 its reverse (1101111011012), we obtain a palindrome (999990099999).

The spelling of 2101101111011 in words is "two trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, eleven".