100110000111001 has 2 divisors, whose sum is σ = 100110000111002. Its totient is φ = 100110000111000.

The previous prime is 100110000110999. The next prime is 100110000111067. The reversal of 100110000111001 is 100111000011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98598942090000 + 1511058021001 = 9929700^2 + 1229251^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110000111001 - 2¹ = 100110000110999 is a prime.

Together with 100110000110999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100110000111101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000055500 + 50055000055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000055501).

Almost surely, 2^{100110000111001} is an apocalyptic number.

It is an amenable number.

100110000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110000111001 is an equidigital number, since it uses as much as digits as its factorization.

100110000111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110000111001 its reverse (100111000011001), we get a palindrome (200221000122002).

The spelling of 100110000111001 in words is "one hundred trillion, one hundred ten billion, one hundred eleven thousand, one".