101101122120013 has 32 divisors (see below), whose sum is σ = 112814408154240. Its totient is φ = 90040284702720.

The previous prime is 101101122119999. The next prime is 101101122120091. The reversal of 101101122120013 is 310021221101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101122120013 - 2⁴¹ = 98902098864461 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 (101101122126013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2732665831 + ... + 2732702827.

It is an arithmetic number, because the mean of its divisors is an integer number (3525450254820).

Almost surely, 2^{101101122120013} is an apocalyptic number.

It is an amenable number.

101101122120013 is a deficient number, since it is larger than the sum of its proper divisors (11713286034227).

101101122120013 is a wasteful number, since it uses less digits than its factorization.

101101122120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46717.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101101122120013 its reverse (310021221101101), we get a palindrome (411122343221114).

The spelling of 101101122120013 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".