2101101112 has 48 divisors (see below), whose sum is σ = 4340130480. Its totient is φ = 952871040.

The previous prime is 2101101109. The next prime is 2101101137. The reversal of 2101101112 is 2111011012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469188 + ... + 473644.

It is an arithmetic number, because the mean of its divisors is an integer number (90419385).

Almost surely, 2^2101101112 is an apocalyptic number.

2101101112 is a gapful number since it is divisible by the number (22) 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 2101101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170065240).

2101101112 is an abundant number, since it is smaller than the sum of its proper divisors (2239029368).

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

2101101112 is a wasteful number, since it uses less digits than its factorization.

2101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2101101112 is about 45837.7694919812. The cubic root of 2101101112 is about 1280.8029450998.

Adding to 2101101112 its reverse (2111011012), we get a palindrome (4212112124).

The spelling of 2101101112 in words is "two billion, one hundred one million, one hundred one thousand, one hundred twelve".