2100211000100 has 72 divisors (see below), whose sum is σ = 4653612832008. Its totient is φ = 822528000000.

The previous prime is 2100211000039. The next prime is 2100211000157. The reversal of 2100211000100 is 10001120012.

It can be written as a sum of positive squares in 12 ways, for example, as 12700388416 + 2087510611684 = 112696^2 + 1444822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49901 + ... + 2050100.

Almost surely, 2^{2100211000100} is an apocalyptic number.

2100211000100 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 2100211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326806416004).

2100211000100 is an abundant number, since it is smaller than the sum of its proper divisors (2553401831908).

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

2100211000100 is a wasteful number, since it uses less digits than its factorization.

2100211000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100225 (or 2100218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100211000100 its reverse (10001120012), we get a palindrome (2110212120112).

It can be divided in two parts, 210021 and 1000100, that added together give a palindrome (1210121).

The spelling of 2100211000100 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred", and thus it is an aban number.