101201122013101 has 8 divisors (see below), whose sum is σ = 110460547639008. Its totient is φ = 91951583658000.

The previous prime is 101201122013087. The next prime is 101201122013183. The reversal of 101201122013101 is 101310221102101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101201122013101 - 2⁷ = 101201122012973 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 (101201123013101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2471796295 + ... + 2471837236.

It is an arithmetic number, because the mean of its divisors is an integer number (13807568454876).

Almost surely, 2^{101201122013101} is an apocalyptic number.

101201122013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201122013101 is a deficient number, since it is larger than the sum of its proper divisors (9259425625907).

101201122013101 is a wasteful number, since it uses less digits than its factorization.

101201122013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943635403.

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

Adding to 101201122013101 its reverse (101310221102101), we get a palindrome (202511343115202).

The spelling of 101201122013101 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, thirteen thousand, one hundred one".