10100001100111 has 24 divisors (see below), whose sum is σ = 11512798658640. Its totient is φ = 8832009139200.

The previous prime is 10100001100097. The next prime is 10100001100121. The reversal of 10100001100111 is 11100110000101.

It is a happy number.

It is not a de Polignac number, because 10100001100111 - 2¹¹ = 10100001098063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100001100094 and 10100001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001100121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95445471 + ... + 95551231.

It is an arithmetic number, because the mean of its divisors is an integer number (479699944110).

Almost surely, 2^{10100001100111} is an apocalyptic number.

10100001100111 is a deficient number, since it is larger than the sum of its proper divisors (1412797558529).

10100001100111 is a wasteful number, since it uses less digits than its factorization.

10100001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135547 (or 135534 counting only the distinct ones).

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

Adding to 10100001100111 its reverse (11100110000101), we get a palindrome (21200111100212).

The spelling of 10100001100111 in words is "ten trillion, one hundred billion, one million, one hundred thousand, one hundred eleven".