101111000000101 has 48 divisors (see below), whose sum is σ = 130878571979520. Its totient is φ = 76339884741120.

The previous prime is 101111000000093. The next prime is 101111000000119. The reversal of 101111000000101 is 101000000111101.

It is a happy number.

It is not a de Polignac number, because 101111000000101 - 2³ = 101111000000093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000000141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7041585 + ... + 15868393.

It is an arithmetic number, because the mean of its divisors is an integer number (2726636916240).

Almost surely, 2^{101111000000101} is an apocalyptic number.

It is an amenable number.

101111000000101 is a deficient number, since it is larger than the sum of its proper divisors (29767571979419).

101111000000101 is a wasteful number, since it uses less digits than its factorization.

101111000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827286 (or 8827273 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101111000000101 its reverse (101000000111101), we get a palindrome (202111000111202).

The spelling of 101111000000101 in words is "one hundred one trillion, one hundred eleven billion, one hundred one", and thus it is an aban number.