101001111212101 has 8 divisors (see below), whose sum is σ = 101046611673920. Its totient is φ = 100955616609312.

The previous prime is 101001111212069. The next prime is 101001111212147. The reversal of 101001111212101 is 101212111100101.

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

It is a cyclic number.

It is not a de Polignac number, because 101001111212101 - 2⁵ = 101001111212069 is a prime.

It is a super-3 number, since 3×101001111212101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111212191) 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 7 ways as a sum of consecutive naturals, for example, 33204721 + ... + 36118633.

It is an arithmetic number, because the mean of its divisors is an integer number (12630826459240).

Almost surely, 2^{101001111212101} is an apocalyptic number.

It is an amenable number.

101001111212101 is a deficient number, since it is larger than the sum of its proper divisors (45500461819).

101001111212101 is a wasteful number, since it uses less digits than its factorization.

101001111212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929515.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101001111212101 its reverse (101212111100101), we get a palindrome (202213222312202).

The spelling of 101001111212101 in words is "one hundred one trillion, one billion, one hundred eleven million, two hundred twelve thousand, one hundred one".