110101111121001 has 96 divisors (see below), whose sum is σ = 206046069280128. Its totient is φ = 51368825410560.

The previous prime is 110101111120993. The next prime is 110101111121063. The reversal of 110101111121001 is 100121111101011.

It is not a de Polignac number, because 110101111121001 - 2³ = 110101111120993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110101111121081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70001580 + ... + 71557133.

It is an arithmetic number, because the mean of its divisors is an integer number (2146313221668).

Almost surely, 2^{110101111121001} is an apocalyptic number.

110101111121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101111121001 is a deficient number, since it is larger than the sum of its proper divisors (95944958159127).

110101111121001 is a wasteful number, since it uses less digits than its factorization.

110101111121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141558791 (or 141558784 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110101111121001 its reverse (100121111101011), we get a palindrome (210222222222012).

The spelling of 110101111121001 in words is "one hundred ten trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one".