101111121211211 has 8 divisors (see below), whose sum is σ = 101215539157824. Its totient is φ = 101006724769480.

The previous prime is 101111121211109. The next prime is 101111121211213. The reversal of 101111121211211 is 112112121111101.

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 101111121211211 - 2¹⁴ = 101111121194827 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 101111121211211.

It is not an unprimeable number, because it can be changed into a prime (101111121211213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4040696 + ... + 14783418.

It is an arithmetic number, because the mean of its divisors is an integer number (12651942394728).

Almost surely, 2^{101111121211211} is an apocalyptic number.

101111121211211 is a deficient number, since it is larger than the sum of its proper divisors (104417946613).

101111121211211 is a wasteful number, since it uses less digits than its factorization.

101111121211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752441.

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

Adding to 101111121211211 its reverse (112112121111101), we get a palindrome (213223242322312).

The spelling of 101111121211211 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, two hundred eleven".