2100344214210 has 128 divisors (see below), whose sum is σ = 5513295110400. Its totient is φ = 507859891200.

The previous prime is 2100344214179. The next prime is 2100344214259. The reversal of 2100344214210 is 124124430012.

It is a super-2 number, since 2×2100344214210² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302247816 + ... + 302254764.

It is an arithmetic number, because the mean of its divisors is an integer number (43072618050).

Almost surely, 2^{2100344214210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100344214210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756647555200).

2100344214210 is an abundant number, since it is smaller than the sum of its proper divisors (3412950896190).

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

2100344214210 is a wasteful number, since it uses less digits than its factorization.

2100344214210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2100344214210 its reverse (124124430012), we get a palindrome (2224468644222).

It can be divided in two parts, 210034 and 4214210, that added together give a palindrome (4424244).

The spelling of 2100344214210 in words is "two trillion, one hundred billion, three hundred forty-four million, two hundred fourteen thousand, two hundred ten".