2103211122100 has 216 divisors, whose sum is σ = 5327088341400. Its totient is φ = 717728563200.

The previous prime is 2103211122017. The next prime is 2103211122157. The reversal of 2103211122100 is 12211123012.

It can be written as a sum of positive squares in 12 ways, for example, as 55226880016 + 2047984242084 = 235004^2 + 1431078^2 .

It is a super-2 number, since 2×2103211122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71774652 + ... + 71803948.

It is an arithmetic number, because the mean of its divisors is an integer number (24662446025).

Almost surely, 2^{2103211122100} is an apocalyptic number.

2103211122100 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 2103211122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663544170700).

2103211122100 is an abundant number, since it is smaller than the sum of its proper divisors (3223877219300).

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

2103211122100 is a wasteful number, since it uses less digits than its factorization.

2103211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29699 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2103211122100 its reverse (12211123012), we get a palindrome (2115422245112).

The spelling of 2103211122100 in words is "two trillion, one hundred three billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".