101110122012101 has 4 divisors (see below), whose sum is σ = 101127491906604. Its totient is φ = 101092752117600.

The previous prime is 101110122012049. The next prime is 101110122012139. The reversal of 101110122012101 is 101210221011101.

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

It can be written as a sum of positive squares in 2 ways, for example, as 54218113257025 + 46892008755076 = 7363295^2 + 6847774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110122012101 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 (101110122012161) 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, 8684938520 + ... + 8684950161.

It is an arithmetic number, because the mean of its divisors is an integer number (25281872976651).

Almost surely, 2^{101110122012101} is an apocalyptic number.

It is an amenable number.

101110122012101 is a deficient number, since it is larger than the sum of its proper divisors (17369894503).

101110122012101 is an equidigital number, since it uses as much as digits as its factorization.

101110122012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369894502.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101110122012101 its reverse (101210221011101), we get a palindrome (202320343023202).

The spelling of 101110122012101 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred one".