20111021102112 has 96 divisors (see below), whose sum is σ = 55802438092800. Its totient is φ = 6324276043008.

The previous prime is 20111021102101. The next prime is 20111021102119. The reversal of 20111021102112 is 21120112011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20111021102091 and 20111021102100.

It is not an unprimeable number, because it can be changed into a prime (20111021102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22630548 + ... + 23502419.

It is an arithmetic number, because the mean of its divisors is an integer number (581275396800).

Almost surely, 2^{20111021102112} is an apocalyptic number.

It is an amenable number.

20111021102112 is an abundant number, since it is smaller than the sum of its proper divisors (35691416990688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20111021102112 is a wasteful number, since it uses less digits than its factorization.

20111021102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46133238 (or 46133230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20111021102112 its reverse (21120112011102), we get a palindrome (41231133113214).

The spelling of 20111021102112 in words is "twenty trillion, one hundred eleven billion, twenty-one million, one hundred two thousand, one hundred twelve".