2100210120100 has 72 divisors (see below), whose sum is σ = 4636405704168. Its totient is φ = 825556300800.

The previous prime is 2100210120097. The next prime is 2100210120103. The reversal of 2100210120100 is 10210120012.

It is an interprime number because it is at equal distance from previous prime (2100210120097) and next prime (2100210120103).

It can be written as a sum of positive squares in 12 ways, for example, as 1932116680036 + 168093440064 = 1390006^2 + 409992^2 .

It is a super-5 number, since 5×2100210120100⁵ (a number of 63 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2100210120103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6534774 + ... + 6848626.

It is an arithmetic number, because the mean of its divisors is an integer number (64394523669).

Almost surely, 2^{2100210120100} is an apocalyptic number.

2100210120100 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 2100210120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318202852084).

2100210120100 is an abundant number, since it is smaller than the sum of its proper divisors (2536195584068).

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

2100210120100 is a wasteful number, since it uses less digits than its factorization.

2100210120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315025 (or 315018 counting only the distinct ones).

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

Adding to 2100210120100 its reverse (10210120012), we get a palindrome (2110420240112).

The spelling of 2100210120100 in words is "two trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, one hundred".