2211111010101 has 32 divisors (see below), whose sum is σ = 3378263604480. Its totient is φ = 1260136475136.

The previous prime is 2211111010093. The next prime is 2211111010253. The reversal of 2211111010101 is 1010101111122.

2211111010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2211111010101 - 2³ = 2211111010093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211111010001) 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, 44956015 + ... + 45005171.

It is an arithmetic number, because the mean of its divisors is an integer number (105570737640).

Almost surely, 2^{2211111010101} is an apocalyptic number.

2211111010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2211111010101 is a deficient number, since it is larger than the sum of its proper divisors (1167152594379).

2211111010101 is a wasteful number, since it uses less digits than its factorization.

2211111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54813.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2211111010101 its reverse (1010101111122), we get a palindrome (3221212121223).

The spelling of 2211111010101 in words is "two trillion, two hundred eleven billion, one hundred eleven million, ten thousand, one hundred one".