101111131121 has 32 divisors (see below), whose sum is σ = 140136923136. Its totient is φ = 70381224000.

The previous prime is 101111131049. The next prime is 101111131129. The reversal of 101111131121 is 121131111101.

It is a cyclic number.

It is not a de Polignac number, because 101111131121 - 2¹⁴ = 101111114737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111131096 and 101111131105.

It is not an unprimeable number, because it can be changed into a prime (101111131129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598165 + ... + 1660226.

It is an arithmetic number, because the mean of its divisors is an integer number (4379278848).

Almost surely, 2^101111131121 is an apocalyptic number.

101111131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111131121 is a deficient number, since it is larger than the sum of its proper divisors (39025792015).

101111131121 is a wasteful number, since it uses less digits than its factorization.

101111131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258453.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 101111131121 its reverse (121131111101), we get a palindrome (222242242222).

It can be divided in two parts, 101111 and 131121, that added together give a palindrome (232232).

The spelling of 101111131121 in words is "one hundred one billion, one hundred eleven million, one hundred thirty-one thousand, one hundred twenty-one".