20102112100111 has 8 divisors (see below), whose sum is σ = 20191336623360. Its totient is φ = 20012930204568.

The previous prime is 20102112100097. The next prime is 20102112100117. The reversal of 20102112100111 is 11100121120102.

It is a happy number.

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 20102112100111 - 2⁵ = 20102112100079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20102112100091 and 20102112100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102112100117) 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, 9711501 + ... + 11598166.

It is an arithmetic number, because the mean of its divisors is an integer number (2523917077920).

Almost surely, 2^{20102112100111} is an apocalyptic number.

20102112100111 is a deficient number, since it is larger than the sum of its proper divisors (89224523249).

20102112100111 is a wasteful number, since it uses less digits than its factorization.

20102112100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21313853.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20102112100111 its reverse (11100121120102), we get a palindrome (31202233220213).

The spelling of 20102112100111 in words is "twenty trillion, one hundred two billion, one hundred twelve million, one hundred thousand, one hundred eleven".