111110000100001 has 6 divisors (see below), whose sum is σ = 129250408279650. Its totient is φ = 95237142942816.

The previous prime is 111110000099981. The next prime is 111110000100053. The reversal of 111110000100001 is 100001000011111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 108635280980625 + 2474719119376 = 10422825^2 + 1573124^2 .

It is not a de Polignac number, because 111110000100001 - 2¹¹ = 111110000097953 is a prime.

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

111110000100001 is a modest number, since divided by 100001 gives 11111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (111110000100601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1133775511176 + ... + 1133775511273.

It is an arithmetic number, because the mean of its divisors is an integer number (21541734713275).

Almost surely, 2^{111110000100001} is an apocalyptic number.

It is an amenable number.

111110000100001 is a deficient number, since it is larger than the sum of its proper divisors (18140408179649).

111110000100001 is an equidigital number, since it uses as much as digits as its factorization.

111110000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267551022463 (or 2267551022456 counting only the distinct ones).

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

Adding to 111110000100001 its reverse (100001000011111), we get a palindrome (211111000111112).

It can be divided in two parts, 1111 and 10000100001, that multiplied together give a palindrome (11110111101111).

The spelling of 111110000100001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred thousand, one".