2112101110100 has 72 divisors (see below), whose sum is σ = 4678667421120. Its totient is φ = 827362631680.

The previous prime is 2112101110057. The next prime is 2112101110109. The reversal of 2112101110100 is 10111012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112101110109) 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 23 ways as a sum of consecutive naturals, for example, 871124 + ... + 2232276.

It is an arithmetic number, because the mean of its divisors is an integer number (64981491960).

Almost surely, 2^{2112101110100} is an apocalyptic number.

2112101110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339333710560).

2112101110100 is an abundant number, since it is smaller than the sum of its proper divisors (2566566311020).

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

2112101110100 is a wasteful number, since it uses less digits than its factorization.

2112101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361489 (or 1361482 counting only the distinct ones).

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

Adding to 2112101110100 its reverse (10111012112), we get a palindrome (2122212122212).

It can be divided in two parts, 21 and 12101110100, that added together give a palindrome (12101110121).

The spelling of 2112101110100 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred ten thousand, one hundred".