101111111111 has 2 divisors, whose sum is σ = 101111111112. Its totient is φ = 101111111110.

The previous prime is 101111111107. The next prime is 101111111149. The reversal of 101111111111 is 111111111101.

It is a weak prime.

It is an emirp because it is prime and its reverse (111111111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111111111 - 2² = 101111111107 is a prime.

101111111111 is a modest number, since divided by 111111 gives 101111 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101111111092 and 101111111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555555 + 50555555556.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555556).

Almost surely, 2^101111111111 is an apocalyptic number.

101111111111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111111 is an equidigital number, since it uses as much as digits as its factorization.

101111111111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101111111111 its reverse (111111111101), we get a palindrome (212222222212).

It can be divided in two parts, 101 and 111111111, that multiplied together give a palindrome (11222222211).

The spelling of 101111111111 in words is "one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".