110000102011001 has 16 divisors (see below), whose sum is σ = 111178671221520. Its totient is φ = 108823299379200.

The previous prime is 110000102010991. The next prime is 110000102011021. The reversal of 110000102011001 is 100110201000011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 68887012032400 + 41113089978601 = 8299820^2 + 6411949^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000102011001 - 2⁶ = 110000102010937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110000102011001.

It is not an unprimeable number, because it can be changed into a prime (110000102011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606060585 + ... + 2606102793.

It is an arithmetic number, because the mean of its divisors is an integer number (6948666951345).

Almost surely, 2^{110000102011001} is an apocalyptic number.

It is an amenable number.

110000102011001 is a deficient number, since it is larger than the sum of its proper divisors (1178569210519).

110000102011001 is a wasteful number, since it uses less digits than its factorization.

110000102011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62476.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110000102011001 its reverse (100110201000011), we get a palindrome (210110303011012).

The spelling of 110000102011001 in words is "one hundred ten trillion, one hundred two million, eleven thousand, one".