10111201311101 has 8 divisors (see below), whose sum is σ = 11030912332608. Its totient is φ = 9191575440000.

The previous prime is 10111201311077. The next prime is 10111201311139. The reversal of 10111201311101 is 10111310211101.

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 10111201311101 - 2³⁸ = 9836323404157 is a prime.

It is a super-2 number, since 2×10111201311101² (a number of 27 digits) contains 22 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 (10111201311301) 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, 21039185 + ... + 21514406.

It is an arithmetic number, because the mean of its divisors is an integer number (1378864041576).

Almost surely, 2^{10111201311101} is an apocalyptic number.

10111201311101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111201311101 is a deficient number, since it is larger than the sum of its proper divisors (919711021507).

10111201311101 is a wasteful number, since it uses less digits than its factorization.

10111201311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42575203.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 10111201311101 its reverse (10111310211101), we get a palindrome (20222511522202).

The spelling of 10111201311101 in words is "ten trillion, one hundred eleven billion, two hundred one million, three hundred eleven thousand, one hundred one".