101011111111111 has 16 divisors (see below), whose sum is σ = 102045481574400. Its totient is φ = 99977786782848.

The previous prime is 101011111111109. The next prime is 101011111111117. The reversal of 101011111111111 is 111111111110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011111111111 - 2¹ = 101011111111109 is a prime.

It is a Duffinian number.

101011111111111 is a modest number, since divided by 11111111 gives 1010111 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101011111111091 and 101011111111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111111117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701668650 + ... + 1701728008.

It is an arithmetic number, because the mean of its divisors is an integer number (6377842598400).

Almost surely, 2^{101011111111111} is an apocalyptic number.

101011111111111 is a deficient number, since it is larger than the sum of its proper divisors (1034370463289).

101011111111111 is a wasteful number, since it uses less digits than its factorization.

101011111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67878.

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

Adding to 101011111111111 its reverse (111111111110101), we get a palindrome (212122222221212).

It can be divided in two parts, 10101 and 1111111111, that multiplied together give a palindrome (11223333332211).

The spelling of 101011111111111 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".