2110100102200 has 96 divisors (see below), whose sum is σ = 5050876723200. Its totient is φ = 819352920960.

The previous prime is 2110100102137. The next prime is 2110100102203. The reversal of 2110100102200 is 22010010112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649161 + ... + 2154439.

It is an arithmetic number, because the mean of its divisors is an integer number (52613299200).

Almost surely, 2^{2110100102200} is an apocalyptic number.

2110100102200 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 2110100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525438361600).

2110100102200 is an abundant number, since it is smaller than the sum of its proper divisors (2940776621000).

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

2110100102200 is a wasteful number, since it uses less digits than its factorization.

2110100102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505501 (or 1505492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110100102200 its reverse (22010010112), we get a palindrome (2132110112312).

The spelling of 2110100102200 in words is "two trillion, one hundred ten billion, one hundred million, one hundred two thousand, two hundred".