111011110100001 has 12 divisors (see below), whose sum is σ = 164683148317012. Its totient is φ = 72007206551136.

The previous prime is 111011110099987. The next prime is 111011110100053. The reversal of 111011110100001 is 100001011110111.

It can be written as a sum of positive squares in 2 ways, for example, as 66561954419601 + 44449155680400 = 8158551^2 + 6667020^2 .

It is not a de Polignac number, because 111011110100001 - 2¹⁵ = 111011110067233 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111011110100071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166683348166 + ... + 166683348831.

Almost surely, 2^{111011110100001} is an apocalyptic number.

It is an amenable number.

111011110100001 is a deficient number, since it is larger than the sum of its proper divisors (53672038217011).

111011110100001 is a wasteful number, since it uses less digits than its factorization.

111011110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333366697040 (or 333366697037 counting only the distinct ones).

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

Adding to 111011110100001 its reverse (100001011110111), we get a palindrome (211012121210112).

It can be divided in two parts, 111011110 and 100001, that added together give a palindrome (111111111).

The spelling of 111011110100001 in words is "one hundred eleven trillion, eleven billion, one hundred ten million, one hundred thousand, one".