101111010109 has 32 divisors (see below), whose sum is σ = 113500051200. Its totient is φ = 89511828480.

The previous prime is 101111010101. The next prime is 101111010131. The reversal of 101111010109 is 901010111101.

It is a cyclic number.

It is not a de Polignac number, because 101111010109 - 2³ = 101111010101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111010092 and 101111010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111010101) 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, 27541344 + ... + 27545014.

It is an arithmetic number, because the mean of its divisors is an integer number (3546876600).

Almost surely, 2^101111010109 is an apocalyptic number.

101111010109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101111010109 is a deficient number, since it is larger than the sum of its proper divisors (12389041091).

101111010109 is a wasteful number, since it uses less digits than its factorization.

101111010109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 101111010109 in words is "one hundred one billion, one hundred eleven million, ten thousand, one hundred nine".