101111120101 has 16 divisors (see below), whose sum is σ = 103328120448. Its totient is φ = 98917804800.

The previous prime is 101111120087. The next prime is 101111120129. The reversal of 101111120101 is 101021111101.

It is a cyclic number.

It is not a de Polignac number, because 101111120101 - 2²⁷ = 100976902373 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 (101111120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15108166 + ... + 15114856.

It is an arithmetic number, because the mean of its divisors is an integer number (6458007528).

Almost surely, 2^101111120101 is an apocalyptic number.

It is an amenable number.

101111120101 is a deficient number, since it is larger than the sum of its proper divisors (2217000347).

101111120101 is a wasteful number, since it uses less digits than its factorization.

101111120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111120101 its reverse (101021111101), we get a palindrome (202132231202).

The spelling of 101111120101 in words is "one hundred one billion, one hundred eleven million, one hundred twenty thousand, one hundred one".