111111100001 has 16 divisors (see below), whose sum is σ = 122992641216. Its totient is φ = 99535800000.

The previous prime is 111111099991. The next prime is 111111100007. The reversal of 111111100001 is 100001111111.

It is a cyclic number.

It is not a de Polignac number, because 111111100001 - 2¹⁸ = 111110837857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111111100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2570 + ... + 471411.

It is an arithmetic number, because the mean of its divisors is an integer number (7687040076).

Almost surely, 2^111111100001 is an apocalyptic number.

111111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111111100001 is a deficient number, since it is larger than the sum of its proper divisors (11881541215).

111111100001 is a wasteful number, since it uses less digits than its factorization.

111111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474304.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111111100001 its reverse (100001111111), we get a palindrome (211112211112).

It can be divided in two parts, 111111 and 100001, that multiplied together give a palindrome (11111211111).

The spelling of 111111100001 in words is "one hundred eleven billion, one hundred eleven million, one hundred thousand, one".