111027561111101 has 8 divisors (see below), whose sum is σ = 112848118087800. Its totient is φ = 109207018103040.

The previous prime is 111027561111037. The next prime is 111027561111127. The reversal of 111027561111101 is 101111165720111.

It can be written as a sum of positive squares in 4 ways, for example, as 28034112825625 + 82993448285476 = 5294725^2 + 9110074^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111027561111101 - 2⁶ = 111027561111037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111027561114101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13182305 + ... + 19895433.

It is an arithmetic number, because the mean of its divisors is an integer number (14106014760975).

Almost surely, 2^{111027561111101} is an apocalyptic number.

It is an amenable number.

111027561111101 is a deficient number, since it is larger than the sum of its proper divisors (1820556976699).

111027561111101 is an equidigital number, since it uses as much as digits as its factorization.

111027561111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984319.

The product of its (nonzero) digits is 420, while the sum is 29.

The spelling of 111027561111101 in words is "one hundred eleven trillion, twenty-seven billion, five hundred sixty-one million, one hundred eleven thousand, one hundred one".