2100000011011 has 16 divisors (see below), whose sum is σ = 2526358297600. Its totient is φ = 1705234483008.

The previous prime is 2100000011003. The next prime is 2100000011027. The reversal of 2100000011011 is 1101100000012.

It is not a de Polignac number, because 2100000011011 - 2³ = 2100000011003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100000010985 and 2100000011003.

It is not an unprimeable number, because it can be changed into a prime (2100000011611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11860711 + ... + 12036463.

It is an arithmetic number, because the mean of its divisors is an integer number (157897393600).

Almost surely, 2^{2100000011011} is an apocalyptic number.

2100000011011 is a deficient number, since it is larger than the sum of its proper divisors (426358286589).

2100000011011 is a wasteful number, since it uses less digits than its factorization.

2100000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265618.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2100000011011 its reverse (1101100000012), we get a palindrome (3201100011023).

The spelling of 2100000011011 in words is "two trillion, one hundred billion, eleven thousand, eleven".