10010110100111 has 8 divisors (see below), whose sum is σ = 10920151133904. Its totient is φ = 9100074237120.

The previous prime is 10010110100101. The next prime is 10010110100131. The reversal of 10010110100111 is 11100101101001.

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 10010110100111 - 2⁶ = 10010110100047 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 (10010110100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3540905 + ... + 5705981.

It is an arithmetic number, because the mean of its divisors is an integer number (1365018891738).

Almost surely, 2^{10010110100111} is an apocalyptic number.

10010110100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010110100111 is a deficient number, since it is larger than the sum of its proper divisors (910041033793).

10010110100111 is a wasteful number, since it uses less digits than its factorization.

10010110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585401.

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

Adding to 10010110100111 its reverse (11100101101001), we get a palindrome (21110211201112).

It can be divided in two parts, 100101101001 and 11, that multiplied together give a palindrome (1101112111011).

The spelling of 10010110100111 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, one hundred eleven".