1002112100111 has 8 divisors (see below), whose sum is σ = 1036690017120. Its totient is φ = 967535671648.

The previous prime is 1002112100089. The next prime is 1002112100113. The reversal of 1002112100111 is 1110012112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002112100111 - 2³⁴ = 984932230927 is a prime.

It is a super-2 number, since 2×1002112100111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002112100092 and 1002112100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095710 + ... + 1790196.

It is an arithmetic number, because the mean of its divisors is an integer number (129586252140).

Almost surely, 2^{1002112100111} is an apocalyptic number.

1002112100111 is a deficient number, since it is larger than the sum of its proper divisors (34577917009).

1002112100111 is an equidigital number, since it uses as much as digits as its factorization.

1002112100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744273.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1002112100111 its reverse (1110012112001), we get a palindrome (2112124212112).

The spelling of 1002112100111 in words is "one trillion, two billion, one hundred twelve million, one hundred thousand, one hundred eleven".