110111000201001 has 72 divisors (see below), whose sum is σ = 163979216856000. Its totient is φ = 71196253652160.

The previous prime is 110111000200973. The next prime is 110111000201017. The reversal of 110111000201001 is 100102000111011.

It is not a de Polignac number, because 110111000201001 - 2¹⁴ = 110111000184617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110111000201021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11601617866 + ... + 11601627356.

It is an arithmetic number, because the mean of its divisors is an integer number (2277489123000).

Almost surely, 2^{110111000201001} is an apocalyptic number.

It is an amenable number.

110111000201001 is a deficient number, since it is larger than the sum of its proper divisors (53868216654999).

110111000201001 is a wasteful number, since it uses less digits than its factorization.

110111000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110111000201001 its reverse (100102000111011), we get a palindrome (210213000312012).

The spelling of 110111000201001 in words is "one hundred ten trillion, one hundred eleven billion, two hundred one thousand, one".