10113244231101 has 16 divisors (see below), whose sum is σ = 14855818713408. Its totient is φ = 6068553392000.

The previous prime is 10113244231087. The next prime is 10113244231151.

10113244231101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10113244231101 - 2¹⁰ = 10113244230077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113244231151) 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 15 ways as a sum of consecutive naturals, for example, 1517135016 + ... + 1517141681.

It is an arithmetic number, because the mean of its divisors is an integer number (928488669588).

Almost surely, 2^{10113244231101} is an apocalyptic number.

10113244231101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10113244231101 is a deficient number, since it is larger than the sum of its proper divisors (4742574482307).

10113244231101 is a wasteful number, since it uses less digits than its factorization.

10113244231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034276812.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1011324 and 4231101, that added together give a palindrome (5242425).

The spelling of 10113244231101 in words is "ten trillion, one hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, one hundred one".