100110111101001 has 6 divisors (see below), whose sum is σ = 144603493812570. Its totient is φ = 66740074067328.

The previous prime is 100110111100991. The next prime is 100110111101029. The reversal of 100110111101001 is 100101111011001.

It can be written as a sum of positive squares in only one way, i.e., 100110050261001 + 60840000 = 10005501^2 + 7800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100110111101001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123345677889 = 100110111101001 / (1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100110111101051) 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, 5561672838936 + ... + 5561672838953.

It is an arithmetic number, because the mean of its divisors is an integer number (24100582302095).

Almost surely, 2^{100110111101001} is an apocalyptic number.

It is an amenable number.

100110111101001 is a deficient number, since it is larger than the sum of its proper divisors (44493382711569).

100110111101001 is a wasteful number, since it uses less digits than its factorization.

100110111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123345677895 (or 11123345677892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110111101001 its reverse (100101111011001), we get a palindrome (200211222112002).

It can be divided in two parts, 10011011 and 1101001, that multiplied together give a palindrome (11022133122011).

The spelling of 100110111101001 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one".