2021100102112 has 96 divisors (see below), whose sum is σ = 4901367167424. Its totient is φ = 798888960000.

The previous prime is 2021100102067. The next prime is 2021100102179. The reversal of 2021100102112 is 2112010011202.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2021100102092 and 2021100102101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3208362 + ... + 3786262.

It is an arithmetic number, because the mean of its divisors is an integer number (51055907994).

Almost surely, 2^{2021100102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450683583712).

2021100102112 is an abundant number, since it is smaller than the sum of its proper divisors (2880267065312).

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

2021100102112 is a wasteful number, since it uses less digits than its factorization.

2021100102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579132 (or 579124 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2021100102112 its reverse (2112010011202), we get a palindrome (4133110113314).

It can be divided in two parts, 2021100 and 102112, that added together give a palindrome (2123212).

The spelling of 2021100102112 in words is "two trillion, twenty-one billion, one hundred million, one hundred two thousand, one hundred twelve".