2111010100011 has 24 divisors (see below), whose sum is σ = 3145481433744. Its totient is φ = 1363608164160.

The previous prime is 2111010100007. The next prime is 2111010100037. The reversal of 2111010100011 is 1100010101112.

It is not a de Polignac number, because 2111010100011 - 2² = 2111010100007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2111010099966 and 2111010100002.

It is not an unprimeable number, because it can be changed into a prime (2111010105011) 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 23 ways as a sum of consecutive naturals, for example, 28658676 + ... + 28732241.

It is an arithmetic number, because the mean of its divisors is an integer number (131061726406).

Almost surely, 2^{2111010100011} is an apocalyptic number.

2111010100011 is a deficient number, since it is larger than the sum of its proper divisors (1034471333733).

2111010100011 is a wasteful number, since it uses less digits than its factorization.

2111010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57391051 (or 57391048 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2111010100011 its reverse (1100010101112), we get a palindrome (3211020201123).

The spelling of 2111010100011 in words is "two trillion, one hundred eleven billion, ten million, one hundred thousand, eleven".