101111121111 has 128 divisors (see below), whose sum is σ = 188271820800. Its totient is φ = 46573263360.

The previous prime is 101111121101. The next prime is 101111121121. The reversal of 101111121111 is 111121111101.

It is an interprime number because it is at equal distance from previous prime (101111121101) and next prime (101111121121).

It is not a de Polignac number, because 101111121111 - 2⁵ = 101111121079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8772010 + ... + 8783528.

It is an arithmetic number, because the mean of its divisors is an integer number (1470873600).

Almost surely, 2^101111121111 is an apocalyptic number.

101111121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111121111 is a deficient number, since it is larger than the sum of its proper divisors (87160699689).

101111121111 is a wasteful number, since it uses less digits than its factorization.

101111121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101111121111 its reverse (111121111101), we get a palindrome (212232232212).

It can be divided in two parts, 101111 and 121111, that added together give a palindrome (222222).

The spelling of 101111121111 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred eleven".