10010110101111 has 6 divisors (see below), whose sum is σ = 14459047923840. Its totient is φ = 6673406734068.

The previous prime is 10010110101109. The next prime is 10010110101113. The reversal of 10010110101111 is 11110101101001.

It is an interprime number because it is at equal distance from previous prime (10010110101109) and next prime (10010110101113).

It is not a de Polignac number, because 10010110101111 - 2¹ = 10010110101109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112234455679 = 10010110101111 / (1 + 0 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10010110101093 and 10010110101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010110101113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556117227831 + ... + 556117227848.

It is an arithmetic number, because the mean of its divisors is an integer number (2409841320640).

Almost surely, 2^{10010110101111} is an apocalyptic number.

10010110101111 is a deficient number, since it is larger than the sum of its proper divisors (4448937822729).

10010110101111 is a wasteful number, since it uses less digits than its factorization.

10010110101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112234455685 (or 1112234455682 counting only the distinct ones).

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

Adding to 10010110101111 its reverse (11110101101001), we get a palindrome (21120211202112).

The spelling of 10010110101111 in words is "ten trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred eleven".