101322111100111 has 4 divisors (see below), whose sum is σ = 110533212109224. Its totient is φ = 92111010091000.

The previous prime is 101322111100099. The next prime is 101322111100123. The reversal of 101322111100111 is 111001111223101.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (101322111100099) and next prime (101322111100123).

It is a cyclic number.

It is not a de Polignac number, because 101322111100111 - 2³¹ = 101319963616463 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 (101322111100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4605550504540 + ... + 4605550504561.

It is an arithmetic number, because the mean of its divisors is an integer number (27633303027306).

Almost surely, 2^{101322111100111} is an apocalyptic number.

101322111100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101322111100111 is a deficient number, since it is larger than the sum of its proper divisors (9211101009113).

101322111100111 is an equidigital number, since it uses as much as digits as its factorization.

101322111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211101009112.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 101322111100111 its reverse (111001111223101), we get a palindrome (212323222323212).

The spelling of 101322111100111 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred eleven".