10101000100111 has 8 divisors (see below), whose sum is σ = 10199142180864. Its totient is φ = 10002859444920.

The previous prime is 10101000100067. The next prime is 10101000100153. The reversal of 10101000100111 is 11100100010101.

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 a de Polignac number, because none of the positive numbers 2^k-10101000100111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101000100094 and 10101000100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000100171) 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, 18926850 + ... + 19453216.

It is an arithmetic number, because the mean of its divisors is an integer number (1274892772608).

Almost surely, 2^{10101000100111} is an apocalyptic number.

10101000100111 is a deficient number, since it is larger than the sum of its proper divisors (98142080753).

10101000100111 is a wasteful number, since it uses less digits than its factorization.

10101000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712781.

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

Adding to 10101000100111 its reverse (11100100010101), we get a palindrome (21201100110212).

The spelling of 10101000100111 in words is "ten trillion, one hundred one billion, one hundred thousand, one hundred eleven".