101111222111101 has 4 divisors (see below), whose sum is σ = 105507362202912. Its totient is φ = 96715082019292.

The previous prime is 101111222111093. The next prime is 101111222111143.

101111222111101 is nontrivially palindromic in base 10.

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 101111222111101 - 2³ = 101111222111093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111222111701) 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 3 ways as a sum of consecutive naturals, for example, 2198070045871 + ... + 2198070045916.

It is an arithmetic number, because the mean of its divisors is an integer number (26376840550728).

Almost surely, 2^{101111222111101} is an apocalyptic number.

It is an amenable number.

101111222111101 is a deficient number, since it is larger than the sum of its proper divisors (4396140091811).

101111222111101 is an equidigital number, since it uses as much as digits as its factorization.

101111222111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396140091810.

The product of its (nonzero) digits is 8, while the sum is 16.

The spelling of 101111222111101 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred one".