2121110010011 has 32 divisors (see below), whose sum is σ = 2206436474880. Its totient is φ = 2037756116736.

The previous prime is 2121110009971. The next prime is 2121110010017. The reversal of 2121110010011 is 1100100111212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121110010011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121110009974 and 2121110010001.

It is not an unprimeable number, because it can be changed into a prime (2121110010017) 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, 747658085 + ... + 747660921.

It is an arithmetic number, because the mean of its divisors is an integer number (68951139840).

Almost surely, 2^{2121110010011} is an apocalyptic number.

2121110010011 is a deficient number, since it is larger than the sum of its proper divisors (85326464869).

2121110010011 is a wasteful number, since it uses less digits than its factorization.

2121110010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2121110010011 its reverse (1100100111212), we get a palindrome (3221210121223).

The spelling of 2121110010011 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, ten thousand, eleven".