10111000113101 has 8 divisors (see below), whose sum is σ = 10437400286208. Its totient is φ = 9784614870000.

The previous prime is 10111000113089. The next prime is 10111000113127. The reversal of 10111000113101 is 10131100011101.

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 10111000113101 - 2¹⁸ = 10110999850957 is a prime.

It is a super-3 number, since 3×10111000113101³ (a number of 40 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 (10111000113901) 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, 2348030 + ... + 5072991.

It is an arithmetic number, because the mean of its divisors is an integer number (1304675035776).

Almost surely, 2^{10111000113101} is an apocalyptic number.

It is an amenable number.

10111000113101 is a deficient number, since it is larger than the sum of its proper divisors (326400173107).

10111000113101 is an equidigital number, since it uses as much as digits as its factorization.

10111000113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465003.

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

Adding to 10111000113101 its reverse (10131100011101), we get a palindrome (20242100124202).

The spelling of 10111000113101 in words is "ten trillion, one hundred eleven billion, one hundred thirteen thousand, one hundred one".