1100010110001 has 32 divisors (see below), whose sum is σ = 1644918337536. Its totient is φ = 647999352000.

The previous prime is 1100010109999. The next prime is 1100010110009. The reversal of 1100010110001 is 1000110100011.

It is not a de Polignac number, because 1100010110001 - 2¹ = 1100010109999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100010110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755466 + ... + 1664556.

It is an arithmetic number, because the mean of its divisors is an integer number (51403698048).

Almost surely, 2^{1100010110001} is an apocalyptic number.

1100010110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100010110001 is a deficient number, since it is larger than the sum of its proper divisors (544908227535).

1100010110001 is a wasteful number, since it uses less digits than its factorization.

1100010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910133.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100010110001 its reverse (1000110100011), we get a palindrome (2100120210012).

The spelling of 1100010110001 in words is "one trillion, one hundred billion, ten million, one hundred ten thousand, one".