2100011012011 has 16 divisors (see below), whose sum is σ = 2413538092800. Its totient is φ = 1807090279200.

The previous prime is 2100011012003. The next prime is 2100011012039. The reversal of 2100011012011 is 1102101100012.

It is a cyclic number.

It is not a de Polignac number, because 2100011012011 - 2³ = 2100011012003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100011012311) 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 15 ways as a sum of consecutive naturals, for example, 4007151 + ... + 4500808.

It is an arithmetic number, because the mean of its divisors is an integer number (150846130800).

Almost surely, 2^{2100011012011} is an apocalyptic number.

2100011012011 is a deficient number, since it is larger than the sum of its proper divisors (313527080789).

2100011012011 is a wasteful number, since it uses less digits than its factorization.

2100011012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509170.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100011012011 its reverse (1102101100012), we get a palindrome (3202112112023).

It can be divided in two parts, 21000 and 11012011, that added together give a palindrome (11033011).

The spelling of 2100011012011 in words is "two trillion, one hundred billion, eleven million, twelve thousand, eleven".