110111002001 has 48 divisors (see below), whose sum is σ = 149558580864. Its totient is φ = 78883200000.

The previous prime is 110111001977. The next prime is 110111002003. The reversal of 110111002001 is 100200111011.

It is a happy number.

It is not a de Polignac number, because 110111002001 - 2³⁴ = 92931132817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110111002001.

It is not an unprimeable number, because it can be changed into a prime (110111002003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743841 + ... + 2783681.

It is an arithmetic number, because the mean of its divisors is an integer number (3115803768).

Almost surely, 2^110111002001 is an apocalyptic number.

110111002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111002001 is a deficient number, since it is larger than the sum of its proper divisors (39447578863).

110111002001 is a wasteful number, since it uses less digits than its factorization.

110111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40134 (or 40123 counting only the distinct ones).

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

Adding to 110111002001 its reverse (100200111011), we get a palindrome (210311113012).

It can be divided in two parts, 11011 and 1002001, that multiplied together give a palindrome (11033033011).

The spelling of 110111002001 in words is "one hundred ten billion, one hundred eleven million, two thousand, one".