111110010100001 has 12 divisors (see below), whose sum is σ = 123338384517012. Its totient is φ = 100009009980000.

The previous prime is 111110010099997. The next prime is 111110010100013. The reversal of 111110010100001 is 100001010011111.

It can be written as a sum of positive squares in 2 ways, for example, as 68068852648225 + 43041157451776 = 8250385^2 + 6560576^2 .

It is not a de Polignac number, because 111110010100001 - 2² = 111110010099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111110010106001) 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, 4545851870 + ... + 4545876311.

It is an arithmetic number, because the mean of its divisors is an integer number (10278198709751).

Almost surely, 2^{111110010100001} is an apocalyptic number.

111110010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111110010100001 is a deficient number, since it is larger than the sum of its proper divisors (12228374417011).

111110010100001 is a wasteful number, since it uses less digits than its factorization.

111110010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091728304 (or 9091728293 counting only the distinct ones).

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

Adding to 111110010100001 its reverse (100001010011111), we get a palindrome (211111020111112).

The spelling of 111110010100001 in words is "one hundred eleven trillion, one hundred ten billion, ten million, one hundred thousand, one".