10111000100011 has 8 divisors (see below), whose sum is σ = 10155490632000. Its totient is φ = 10066527777600.

The previous prime is 10111000099999. The next prime is 10111000100021. The reversal of 10111000100011 is 11000100011101.

It is a happy number.

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 10111000100011 - 2¹¹ = 10111000097963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111000099967 and 10111000100003.

It is not an unprimeable number, because it can be changed into a prime (10111000100021) 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, 3438840 + ... + 5661061.

It is an arithmetic number, because the mean of its divisors is an integer number (1269436329000).

Almost surely, 2^{10111000100011} is an apocalyptic number.

10111000100011 is a deficient number, since it is larger than the sum of its proper divisors (44490531989).

10111000100011 is an equidigital number, since it uses as much as digits as its factorization.

10111000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104789.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10111000100011 its reverse (11000100011101), we get a palindrome (21111100111112).

It can be divided in two parts, 101 and 11000100011, that multiplied together give a palindrome (1111010101111).

The spelling of 10111000100011 in words is "ten trillion, one hundred eleven billion, one hundred thousand, eleven".