111111100000101 has 24 divisors (see below), whose sum is σ = 162243267764760. Its totient is φ = 73267518836736.

The previous prime is 111111100000099. The next prime is 111111100000123. The reversal of 111111100000101 is 101000001111111.

It can be written as a sum of positive squares in 4 ways, for example, as 1927304699076 + 109183795301025 = 1388274^2 + 10449105^2 .

It is not a de Polignac number, because 111111100000101 - 2¹ = 111111100000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111100000801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35744740 + ... + 38728653.

It is an arithmetic number, because the mean of its divisors is an integer number (6760136156865).

Almost surely, 2^{111111100000101} is an apocalyptic number.

It is an amenable number.

111111100000101 is a deficient number, since it is larger than the sum of its proper divisors (51132167764659).

111111100000101 is a wasteful number, since it uses less digits than its factorization.

111111100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74475205 (or 74475202 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111111100000101 its reverse (101000001111111), we get a palindrome (212111101111212).

The spelling of 111111100000101 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one hundred one", and thus it is an aban number.