2100110021011 has 16 divisors (see below), whose sum is σ = 2219517941760. Its totient is φ = 1981591603200.

The previous prime is 2100110020997. The next prime is 2100110021041. The reversal of 2100110021011 is 1101200110012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100110021011 is a prime.

It is a super-2 number, since 2×2100110021011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100110021041) 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, 48647286 + ... + 48690436.

It is an arithmetic number, because the mean of its divisors is an integer number (138719871360).

Almost surely, 2^{2100110021011} is an apocalyptic number.

2100110021011 is a deficient number, since it is larger than the sum of its proper divisors (119407920749).

2100110021011 is a wasteful number, since it uses less digits than its factorization.

2100110021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53394.

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

Adding to 2100110021011 its reverse (1101200110012), we get a palindrome (3201310131023).

The spelling of 2100110021011 in words is "two trillion, one hundred billion, one hundred ten million, twenty-one thousand, eleven".