101110111111111 has 8 divisors (see below), whose sum is σ = 101798631698400. Its totient is φ = 100421722913952.

The previous prime is 101110111111081. The next prime is 101110111111193. The reversal of 101110111111111 is 111111111011101.

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 not a de Polignac number, because 101110111111111 - 2¹³ = 101110111102919 is a prime.

It is a Duffinian number.

101110111111111 is a modest number, since divided by 11111111 gives 1011101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101110111111091 and 101110111111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110111121111) 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, 31564635 + ... + 34620028.

It is an arithmetic number, because the mean of its divisors is an integer number (12724828962300).

Almost surely, 2^{101110111111111} is an apocalyptic number.

101110111111111 is a deficient number, since it is larger than the sum of its proper divisors (688520587289).

101110111111111 is a wasteful number, since it uses less digits than its factorization.

101110111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66195065.

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 101110111111111 its reverse (111111111011101), we get a palindrome (212221222122212).

It can be divided in two parts, 1011101 and 11111111, that multiplied together give a palindrome (11234455443211).

The spelling of 101110111111111 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".