10001100100111 has 8 divisors (see below), whose sum is σ = 10065730976640. Its totient is φ = 9936480991008.

The previous prime is 10001100100109. The next prime is 10001100100157. The reversal of 10001100100111 is 11100100110001.

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 10001100100111 - 2¹ = 10001100100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001100100094 and 10001100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100100811) 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, 1233376 + ... + 4639333.

It is an arithmetic number, because the mean of its divisors is an integer number (1258216372080).

Almost surely, 2^{10001100100111} is an apocalyptic number.

10001100100111 is a deficient number, since it is larger than the sum of its proper divisors (64630876529).

10001100100111 is a wasteful number, since it uses less digits than its factorization.

10001100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883713.

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

Adding to 10001100100111 its reverse (11100100110001), we get a palindrome (21101200210112).

The spelling of 10001100100111 in words is "ten trillion, one billion, one hundred million, one hundred thousand, one hundred eleven".