101111201010201 has 32 divisors (see below), whose sum is σ = 140170711329792. Its totient is φ = 64788044529600.

The previous prime is 101111201010181. The next prime is 101111201010233. The reversal of 101111201010201 is 102010102111101.

It is not a de Polignac number, because 101111201010201 - 2¹⁰ = 101111201009177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101111201010251) 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 31 ways as a sum of consecutive naturals, for example, 21681405 + ... + 25928858.

It is an arithmetic number, because the mean of its divisors is an integer number (4380334729056).

Almost surely, 2^{101111201010201} is an apocalyptic number.

It is an amenable number.

101111201010201 is a deficient number, since it is larger than the sum of its proper divisors (39059510319591).

101111201010201 is a wasteful number, since it uses less digits than its factorization.

101111201010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47610573.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111201010201 its reverse (102010102111101), we get a palindrome (203121303121302).

The spelling of 101111201010201 in words is "one hundred one trillion, one hundred eleven billion, two hundred one million, ten thousand, two hundred one".