101000100110111 has 8 divisors (see below), whose sum is σ = 103130989143744. Its totient is φ = 98889409077120.

The previous prime is 101000100110053. The next prime is 101000100110113. The reversal of 101000100110111 is 111011001000101.

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 101000100110111 - 2¹⁰ = 101000100109087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100110113) 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, 5049490055 + ... + 5049510056.

It is an arithmetic number, because the mean of its divisors is an integer number (12891373642968).

Almost surely, 2^{101000100110111} is an apocalyptic number.

101000100110111 is a deficient number, since it is larger than the sum of its proper divisors (2130889033633).

101000100110111 is a wasteful number, since it uses less digits than its factorization.

101000100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099000321.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000100110111 its reverse (111011001000101), we get a palindrome (212011101110212).

The spelling of 101000100110111 in words is "one hundred one trillion, one hundred million, one hundred ten thousand, one hundred eleven".