2211010100113 has 4 divisors (see below), whose sum is σ = 2213572105728. Its totient is φ = 2208448094500.

The previous prime is 2211010100111. The next prime is 2211010100129. The reversal of 2211010100113 is 3110010101122.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2211010100113 - 2¹ = 2211010100111 is a prime.

It is a super-2 number, since 2×2211010100113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211010100093 and 2211010100102.

It is not an unprimeable number, because it can be changed into a prime (2211010100111) 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 3 ways as a sum of consecutive naturals, for example, 1281001513 + ... + 1281003238.

It is an arithmetic number, because the mean of its divisors is an integer number (553393026432).

Almost surely, 2^{2211010100113} is an apocalyptic number.

It is an amenable number.

2211010100113 is a deficient number, since it is larger than the sum of its proper divisors (2562005615).

2211010100113 is an equidigital number, since it uses as much as digits as its factorization.

2211010100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562005614.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2211010100113 its reverse (3110010101122), we get a palindrome (5321020201235).

The spelling of 2211010100113 in words is "two trillion, two hundred eleven billion, ten million, one hundred thousand, one hundred thirteen".