2110100001011 has 8 divisors (see below), whose sum is σ = 2121171028320. Its totient is φ = 2099030395392.

The previous prime is 2110100000963. The next prime is 2110100001013. The reversal of 2110100001011 is 1101000010112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2110100001011 - 2¹⁴ = 2110099984627 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2110100001011.

It is not an unprimeable number, because it can be changed into a prime (2110100001013) 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 7 ways as a sum of consecutive naturals, for example, 2689010 + ... + 3383928.

It is an arithmetic number, because the mean of its divisors is an integer number (265146378540).

Almost surely, 2^{2110100001011} is an apocalyptic number.

2110100001011 is a deficient number, since it is larger than the sum of its proper divisors (11071027309).

2110100001011 is a wasteful number, since it uses less digits than its factorization.

2110100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710845.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2110100001011 its reverse (1101000010112), we get a palindrome (3211100011123).

It can be divided in two parts, 2 and 110100001011, that multiplied together give a palindrome (220200002022).

The spelling of 2110100001011 in words is "two trillion, one hundred ten billion, one hundred million, one thousand, eleven".