101111111212211 has 8 divisors (see below), whose sum is σ = 104550567066624. Its totient is φ = 97682768301960.

The previous prime is 101111111212207. The next prime is 101111111212219. The reversal of 101111111212211 is 112212111111101.

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 101111111212211 - 2² = 101111111212207 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 101111111212211.

It is not an unprimeable number, because it can be changed into a prime (101111111212219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2778217535 + ... + 2778253928.

It is an arithmetic number, because the mean of its divisors is an integer number (13068820883328).

Almost surely, 2^{101111111212211} is an apocalyptic number.

101111111212211 is a deficient number, since it is larger than the sum of its proper divisors (3439455854413).

101111111212211 is an equidigital number, since it uses as much as digits as its factorization.

101111111212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556472081.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 101111111212211 its reverse (112212111111101), we get a palindrome (213323222323312).

The spelling of 101111111212211 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred twelve thousand, two hundred eleven".