2101100310 has 80 divisors (see below), whose sum is σ = 5657137200. Its totient is φ = 559548864.

The previous prime is 2101100297. The next prime is 2101100317. The reversal of 2101100310 is 130011012.

It is a super-2 number, since 2×2101100310² = 8829245025364192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101100292 and 2101100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100317) 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 39 ways as a sum of consecutive naturals, for example, 897121 + ... + 899459.

It is an arithmetic number, because the mean of its divisors is an integer number (70714215).

Almost surely, 2^2101100310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828568600).

2101100310 is an abundant number, since it is smaller than the sum of its proper divisors (3556036890).

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

2101100310 is a wasteful number, since it uses less digits than its factorization.

2101100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101100310 is about 45837.7607437362. The cubic root of 2101100310 is about 1280.8027821369.

Adding to 2101100310 its reverse (130011012), we get a palindrome (2231111322).

The spelling of 2101100310 in words is "two billion, one hundred one million, one hundred thousand, three hundred ten".