101011101011109 has 96 divisors (see below), whose sum is σ = 156855567458304. Its totient is φ = 62474946969600.

The previous prime is 101011101011077. The next prime is 101011101011111. The reversal of 101011101011109 is 901110101110101.

It is not a de Polignac number, because 101011101011109 - 2⁵ = 101011101011077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011101011091 and 101011101011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101012109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5107493829 + ... + 5107513605.

It is an arithmetic number, because the mean of its divisors is an integer number (1633912161024).

Almost surely, 2^{101011101011109} is an apocalyptic number.

It is an amenable number.

101011101011109 is a deficient number, since it is larger than the sum of its proper divisors (55844466447195).

101011101011109 is a wasteful number, since it uses less digits than its factorization.

101011101011109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21907 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 101011101011109 in words is "one hundred one trillion, eleven billion, one hundred one million, eleven thousand, one hundred nine".