100110110001 has 24 divisors (see below), whose sum is σ = 148016295840. Its totient is φ = 60135841920.

The previous prime is 100110109973. The next prime is 100110110029. The reversal of 100110110001 is 100011011001.

It is an interprime number because it is at equal distance from previous prime (100110109973) and next prime (100110110029).

It is not a de Polignac number, because 100110110001 - 2¹¹ = 100110107953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110110101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179271 + ... + 1261308.

It is an arithmetic number, because the mean of its divisors is an integer number (6167345660).

Almost surely, 2^100110110001 is an apocalyptic number.

100110110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110110001 is a deficient number, since it is larger than the sum of its proper divisors (47906185839).

100110110001 is a wasteful number, since it uses less digits than its factorization.

100110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440717 (or 2440706 counting only the distinct ones).

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

Adding to 100110110001 its reverse (100011011001), we get a palindrome (200121121002).

It can be divided in two parts, 10011011000 and 1, that added together give a palindrome (10011011001).

The spelling of 100110110001 in words is "one hundred billion, one hundred ten million, one hundred ten thousand, one".