10101001110111 has 48 divisors (see below), whose sum is σ = 15141288708000. Its totient is φ = 6483538059264.

The previous prime is 10101001110071. The next prime is 10101001110121. The reversal of 10101001110111 is 11101110010101.

It is not a de Polignac number, because 10101001110111 - 2³⁸ = 9826123203167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

10101001110111 is a modest number, since divided by 1110111 gives 101010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10101001110093 and 10101001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001110121) 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 47 ways as a sum of consecutive naturals, for example, 285813880 + ... + 285849218.

It is an arithmetic number, because the mean of its divisors is an integer number (315443514750).

Almost surely, 2^{10101001110111} is an apocalyptic number.

10101001110111 is a deficient number, since it is larger than the sum of its proper divisors (5040287597889).

10101001110111 is a wasteful number, since it uses less digits than its factorization.

10101001110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44328 (or 44325 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101001110111 its reverse (11101110010101), we get a palindrome (21202111120212).

The spelling of 10101001110111 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, one hundred eleven".