110110101102001 has 192 divisors, whose sum is σ = 157920169397760. Its totient is φ = 75324938895360.

The previous prime is 110110101101983. The next prime is 110110101102017. The reversal of 110110101102001 is 100201101011011.

It is not a de Polignac number, because 110110101102001 - 2¹¹ = 110110101099953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110110101102091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21219905115 + ... + 21219910303.

It is an arithmetic number, because the mean of its divisors is an integer number (822500882280).

Almost surely, 2^{110110101102001} is an apocalyptic number.

110110101102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110101102001 is a deficient number, since it is larger than the sum of its proper divisors (47810068295759).

110110101102001 is a wasteful number, since it uses less digits than its factorization.

110110101102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110110101102001 its reverse (100201101011011), we get a palindrome (210311202113012).

The spelling of 110110101102001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred two thousand, one".