10111113101 has 8 divisors (see below), whose sum is σ = 10208580984. Its totient is φ = 10013785600.

The previous prime is 10111113097. The next prime is 10111113113. The reversal of 10111113101 is 10131111101.

It can be written as a sum of positive squares in 4 ways, for example, as 430521001 + 9680592100 = 20749^2 + 98390^2 .

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 10111113101 - 2² = 10111113097 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 (10111113151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112625 + ... + 181401.

It is an arithmetic number, because the mean of its divisors is an integer number (1276072623).

Almost surely, 2^10111113101 is an apocalyptic number.

It is an amenable number.

10111113101 is a deficient number, since it is larger than the sum of its proper divisors (97467883).

10111113101 is a wasteful number, since it uses less digits than its factorization.

10111113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70191.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10111113101 its reverse (10131111101), we get a palindrome (20242224202).

The spelling of 10111113101 in words is "ten billion, one hundred eleven million, one hundred thirteen thousand, one hundred one".